Edit Profile Fridman, Leonid M. Compute Distance To: Compute Author ID: fridman.leonid-m Published as: Fridman, L.; Fridman, L. M.; Fridman, Leonid; Fridman, Leonid M.; Fridmann, Leonid Homepage: http://verona.fi-p.unam.mx/~lfridman External Links: Math-Net.Ru Documents Indexed: 188 Publications since 1978, including 9 Books all top 5 Co-Authors 16 single-authored 18 Moreno, Jaime A. 17 Boiko, Igor M. 14 Dávila, Jorge 13 Bejarano, Francisco Javier 12 Iriarte, Rafael 12 Poznyak, Aleksandr Semënovich 10 Levant, Arie 9 Castaños, Fernando 9 Estrada, Antonio 9 Shtessel, Yuri B. 8 Aguilar, Luis T. 7 Efimov, Denis V. 7 Pisano, Alessandro 7 Ríos, Héctor 7 Usai, Elio 6 Fridman, Emilia 6 Kamal, Shyam 5 Angulo, Marco Tulio 5 Bandyopadhyay, Bijnan 5 Basin, Michael V. 5 Ferreira de Loza, Alejandra 5 Galvan-Guerra, Rosalba 5 Hernández, Debbie 5 Oliveira, Tiago Roux 5 Polyakov, Andrey 5 Shustin, Eugenii Isaakovich 4 Strygin, Vadim V. 4 Velázquez-Velázquez, Juan-Eduardo 4 Zolghadri, Ali 3 Apaza-Perez, W. Alejandro 3 Bernal, Miguel 3 Castellanos, M. I. 3 Cruz-Zavala, Emmanuel 3 Edwards, Christopher 3 Horn, Martin Erik 3 Perruquetti, Wilfrid 3 Plestan, Franck 3 Rodrigues, Victor Hugo Pereira 3 Rodriguez Gonzalez, Jesus G. 3 Tapia, Alán 2 Acosta, Pedro R. 2 Aparicio, Andrea 2 Bartolini, Giorgio 2 Benallegue, Abdelaziz 2 Cañedo, Jose M. 2 Chalanga, Asif 2 Collado, Joaquin M. 2 Glizer, Valery Y. 2 Golkani, Mohammad Ali 2 Harmouche, Mohamed 2 Imine, H. 2 Laghrouche, Salah 2 Li, Shihua 2 Loukianov, Alexander G. 2 Nagar, Shyam Krishna 2 Obeid, Hussein 2 Pal, Anil Kumar 2 Pérez-Ventura, Ulises 2 Punta, Elisabetta 2 Raissi, Tarek 2 Reichhartinger, Markus 2 Rosales, Antonio 2 Sanchez, Tonametl 2 Shi, Peng 2 Soto-Cota, Adolfo 2 Steinberger, Martin 2 Torres-González, Victor 2 Turetsky, Vladimir 2 Vázquez Cendón, Carlos 2 Xu, Jianxin 1 Alvarez, Joaquín 1 Aoustin, Yannick 1 Azhmyakov, Vadim 1 Baldi, Simone 1 Barbot, Jean-Pierre 1 Basin, M. 1 Battistel, Andrei 1 Bogatyrev, S. V. 1 Castellanos, Ivan 1 Cieslak, Jérome 1 de León, Jesús Ponce 1 De Loza, A. Ferreira 1 Delprat, S. 1 Derafa, L. 1 Egerstedt, Magnus B. 1 Escobar, Jesica 1 Ferrara, Antonella 1 Ferreira, Adrian 1 Fossas i Colet, Enric 1 Freidovich, Leonid B. 1 Gonzalez, Tenoch 1 Henry, David 1 Jimenez-Lizarraga, Manuel 1 Karimi, Hamid Reza 1 Koch, Stefan 1 Lebastard, Vincent 1 Lee, Tong Heng 1 Loria, Antonio 1 Madani, T. 1 Man, Zhihong ...and 36 more Co-Authors all top 5 Serials 28 IEEE Transactions on Automatic Control 25 Automatica 22 International Journal of Robust and Nonlinear Control 18 International Journal of Control 13 Journal of the Franklin Institute 9 International Journal of Systems Science 5 Asian Journal of Control 4 Nonlinear Analysis. Hybrid Systems 3 Differential Equations 2 Differentsial’nye Uravneniya 2 SIAM Journal on Control and Optimization 2 Systems & Control Letters 2 IMA Journal of Mathematical Control and Information 2 International Journal of Adaptive Control and Signal Processing 2 Automation and Remote Control 2 Functional Differential Equations 2 Lecture Notes in Control and Information Sciences 2 Systems & Control: Foundations & Applications 1 Chaos, Solitons and Fractals 1 Avtomatika i Telemekhanika 1 PU.M.A. Pure Mathematics and Applications 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Doklady Mathematics 1 Izvestiya. Rossiĭskaya Akademiya Estestvennykh Nauk. Matematika, Matematicheskoe Modelirovanie, Informatika i Upravlenie 1 Differential Equations 1 International Journal of Pure and Applied Mathematics 1 IEE Control Engineering Series 1 Matematicheskie Modeli Povedeniya 1 IET Control Theory & Applications 1 Studies in Systems, Decision and Control 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Control, Robotics and Sensors Series all top 5 Fields 174 Systems theory; control (93-XX) 29 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 147 Publications have been cited 1,516 times in 864 Documents Cited by ▼ Year ▼ Second-order sliding-mode observer for mechanical systems. Zbl 1365.93071Davila, Jorge; Fridman, Leonid; Levant, Arie 108 2005 Analysis and design of integral sliding manifolds for systems with unmatched perturbations. Zbl 1366.93094Castaños, Fernando; Fridman, Leonid 74 2006 Uniform robust exact differentiator. Zbl 1368.94028Cruz-Zavala, Emmanuel; Moreno, Jaime A.; Fridman, Leonid M. 58 2011 Analysis of chattering in continuous sliding-mode controllers. Zbl 1365.93066Boiko, I.; Fridman, L. 46 2005 Higher-order sliding-mode observer for state estimation and input reconstruction in nonlinear systems. Zbl 1284.93057Fridman, Leonid; Shtessel, Yuri; Edwards, Christopher; Yan, Xing-Gang 41 2008 Stability notions and Lyapunov functions for sliding mode control systems. Zbl 1372.93072Polyakov, Andrey; Fridman, Leonid 40 2014 Integral sliding mode design for robust filtering and control of linear stochastic time-delay systems. Zbl 1100.93012Basin, Michael; Rodriguez-Gonzalez, Jesus; Fridman, Leonid; Acosta, Pedro 37 2005 Observation of linear systems with unknown inputs via high-order sliding-modes. Zbl 1128.93312Fridman, Leonid; Levant, Arie; Davila, Jorge 36 2007 Analysis of chattering in systems with second-order sliding modes. Zbl 1366.93378Boiko, Igor; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 35 2007 Interval estimation for LPV systems applying high order sliding mode techniques. Zbl 1257.93090Efimov, Denis; Fridman, Leonid; Raïssi, Tarek; Zolghadri, Ali; Seydou, Ramatou 29 2012 Chattering analysis of sliding mode systems with inertial sensors. Zbl 1062.93011Fridman, Leonid M. 28 2003 Singularly perturbed analysis of chattering in relay control systems. Zbl 1364.93491Fridman, Leonid M. 28 2002 Robust exact uniformly convergent arbitrary order differentiator. Zbl 1364.93119Angulo, Marco Tulio; Moreno, Jaime A.; Fridman, Leonid 27 2013 Observation and identification of mechanical systems via second order sliding modes. Zbl 1330.93045Davila, J.; Fridman, L.; Poznyak, A. 27 2006 An averaging approach to chattering. Zbl 1007.93010Fridman, Leonid M. 27 2001 Integral sliding mode control for nonlinear systems with matched and unmatched perturbations. Zbl 1368.93264Rubagotti, Matteo; Estrada, Antonio; Castaños, Fernando; Ferrara, Antonella; Fridman, Leonid 25 2011 High order sliding mode observer for linear systems with unbounded unknown inputs. Zbl 1213.93019Bejarano, Francisco J.; Fridman, Leonid 24 2010 Sliding mode identification and control for linear uncertain stochastic systems. Zbl 1160.93396Basin, M.; Ferreira, A.; Fridman, L. 24 2007 Optimal and robust control for linear state-delay systems. Zbl 1119.49021Basin, Michael; Rodriguez-Gonzalez, Jesus; Fridman, Leonid 24 2007 Analysis of second-order sliding-mode algorithms in the frequency domain. Zbl 1365.93067Boiko, I.; Fridman, L.; Castellanos, M. I. 24 2004 High-order sliding-mode observer for a quadrotor UAV. Zbl 1284.93052Benallegue, A.; Mokhtari, A.; Fridman, L. 21 2008 Higher order sliding modes as a natural phenomenon in control theory. Zbl 0854.93021Fridman, Leonid; Levant, Arie 21 1996 Variable gain super-twisting sliding mode control. Zbl 1369.93124Gonzalez, Tenoch; Moreno, Jaime A.; Fridman, Leonid 20 2012 Super twisting control algorithm for the attitude tracking of a four rotors UAV. Zbl 1254.93072Derafa, L.; Benallegue, A.; Fridman, L. 20 2012 Global sliding-mode observer with adjusted gains for locally Lipschitz systems. Zbl 1216.93019Efimov, D.; Fridman, L. 20 2011 Modern sliding mode control theory. New perspectives and applications. Zbl 1140.93005Bartolini, Giorgio (ed.); Fridman, Leonid (ed.); Pisano, Alessandro (ed.); Usai, Elio (ed.) 19 2008 Variable structure systems: from principles to implementation. Zbl 1142.93005Sabanovic, Asif (ed.); Fridman, Leonid (ed.); Spurgeon, Sarah (ed.) 19 2004 Output-feedback finite-time stabilization of disturbed LTI systems. Zbl 1238.93080Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 18 2012 High-order sliding-mode observation for linear systems with unknown inputs. Zbl 1225.93034Fridman, Leonid; Davila, Jorge; Levant, Arie 17 2011 Exact state estimation for linear systems with unknown inputs based on hierarchical super-twisting algorithm. Zbl 1131.93011Bejarano, F. J.; Fridman, L.; Poznyak, A. 17 2007 A hybrid robust non-homogeneous finite-time differentiator. Zbl 1368.93082Efimov, Denis V.; Fridman, Leonid 15 2011 Unknown input and state estimation for unobservable systems. Zbl 1194.93112Bejarano, Francisco J.; Fridman, Leonid; Poznyak, Alexander 15 2009 Fault tolerant control allocation via continuous integral sliding-modes: a HOSM-observer approach. Zbl 1309.93053Ríos, Héctor; Kamal, Shyam; Fridman, Leonid M.; Zolghadri, Ali 14 2015 Mini-max integral sliding-mode control for multimodel linear uncertain systems. Zbl 1365.93075Poznyak, A.; Fridman, L.; Bejarano, F. J. 14 2004 Integral sliding-mode control for linear time-invariant implicit systems. Zbl 1298.93103Castaños, Fernando; Hernández, Debbie; Fridman, Leonid M. 12 2014 State exact reconstruction for switched linear systems via a super-twisting algorithm. Zbl 1233.93040Bejarano, Francisco J.; Fridman, Leonid 12 2011 Quasi-continuous HOSM control for systems with unmatched perturbations. Zbl 1218.93026Estrada, Antonio; Fridman, Leonid 12 2010 Advances in variable structure and sliding mode control. Many papers based on the expansions of selected presentations from the 8th IEEE international workshop on variable structure systems (VSS’04), Barcelona, Spain, September 2004. Zbl 1089.93002Edwards, Christopher (ed.); Fossas Colet, Enric (ed.); Fridman, Leonid (ed.) 12 2006 Adaptive sliding mode control and observation. Zbl 1353.93030Shtessel, Yuri; Fridman, Leonid; Plestan, Franck 11 2016 Unmatched uncertainties compensation based on high-order sliding mode observation. Zbl 1273.93039Ferreira de Loza, Alejandra; Bejarano, Francisco J.; Fridman, Leonid 11 2013 Accuracy of homogeneous sliding modes in the presence of fast actuators. Zbl 1368.93401Levant, Arie; Fridman, Leonid M. 11 2010 Generating self-excited oscillations via two-relay controller. Zbl 1367.93384Aguilar, Luis T.; Boiko, Igor; Fridman, Leonid; Iriarte, Rafael 11 2009 Robust observation and identification of \(n\)DOF Lagrangian systems. Zbl 1134.93010Almeida, David I. Rosas; Alvarez, Joaquín; Fridman, Leonid 11 2007 Output integral sliding mode control based on algebraic hierarchical observer. Zbl 1120.93013Bejarano, F. J.; Fridman, L.; Poznyak, A. 11 2007 High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs. Zbl 1256.93034Ríos, Héctor; Davila, Jorge; Fridman, Leonid 10 2012 Integral HOSM semiglobal controller for finite-time exact compensation of unmatched perturbations. Zbl 1368.93083Estrada, Antonio; Fridman, Leonid M. 10 2010 Finite-time state observation for nonlinear uncertain systems via higher-order sliding modes. Zbl 1168.93363Davila, Jorge; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 10 2009 Continuous terminal sliding-mode controller. Zbl 1338.93100Kamal, Shyam; Moreno, Jaime A.; Chalanga, Asif; Bandyopadhyay, Bijnan; Fridman, Leonid M. 9 2016 Continuous nested algorithms: the fifth generation of sliding mode controllers. Zbl 1321.93024Fridman, Leonid; Moreno, Jaime A.; Bandyopadhyay, Bijnan; Kamal, Shyam; Chalanga, Asif 9 2015 Parameter tuning of second-order sliding mode controllers for linear plants with dynamic actuators. Zbl 1137.93335Boiko, I.; Fridman, L.; Iriarte, R.; Pisano, A.; Usai, E. 9 2006 Twisting sliding mode control with adaptation: Lyapunov design, methodology and application. Zbl 1351.93038Shtessel, Yuri B.; Moreno, Jaime A.; Fridman, Leonid M. 8 2017 Output tracking of systems subjected to perturbations and a class of actuator faults based on HOSM observation and identification. Zbl 1326.93034Ferreira de Loza, Alejandra; Cieslak, Jérôme; Henry, David; Zolghadri, Ali; Fridman, Leonid M. 8 2015 Super twisting control of a parametrically excited overhead crane. Zbl 1372.93075Vázquez, Carlos; Collado, Joaquin; Fridman, Leonid 8 2014 Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems. Zbl 1364.93118Angulo, Marco Tulio; Fridman, Leonid; Moreno, Jaime A. 8 2013 State observation for nonlinear switched systems using nonhomogeneous high-order sliding mode observers. Zbl 1286.93035Davila, J.; Ríos, H.; Fridman, L. 8 2012 Robust exact finite-time output based control using high-order sliding modes. Zbl 1260.93031Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 8 2011 Global and exact HOSM differentiator with dynamic gains for output-feedback sliding mode control. Zbl 1372.93068Oliveira, Tiago Roux; Estrada, Antonio; Fridman, Leonid M. 7 2017 Design of continuous twisting algorithm. Zbl 1370.93078Torres-González, Víctor; Sanchez, Tonametl; Fridman, Leonid M.; Moreno, Jaime A. 7 2017 Robust ouput LQ optimal control via integral sliding modes. Zbl 1288.93001Fridman, Leonid; Poznyak, Alexander; Bejarano, Francisco Javier 7 2014 Output integral sliding mode for min-max optimization of multi-plant linear uncertain systems. Zbl 1367.93010Bejarano, Francisco Javier; Fridman, Leonid M.; Poznyak, Alexander S. 7 2009 Hierarchical second-order sliding-mode observer for linear time invariant systems with unknown inputs. Zbl 1128.93309Bejarano, F. J.; Poznyak, A.; Fridman, L. 7 2007 Nonlinear sliding mode control design: an LMI approach. Zbl 1370.93077Tapia, Alán; Bernal, Miguel; Fridman, Leonid 6 2017 Dynamic switching surfaces for output sliding mode control: an \({\mathcal H}_\infty\) approach. Zbl 1227.93024Castaños, Fernando; Fridman, Leonid 6 2011 Approximability of nonlinear affine control systems. Zbl 1225.93048Azhmyakov, V.; Egerstedt, M.; Fridman, L.; Poznyak, A. 6 2011 On the transfer properties of the “generalized sub-optimal” second-order sliding mode control algorithm. Zbl 1367.93117Boiko, Igor; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 6 2009 Editorial: Higher order sliding modes. Zbl 1298.00181Shtessel, Yuri B. (ed.); Fridman, Leonid (ed.); Zinober, Alan (ed.) 6 2008 Optimal and robust sliding mode control for linear systems with time delay in control input. Zbl 1134.49311Basin, Michael; Rodriguez-Gonzalez, Jesus; Fridman, Leonid 6 2003 Oscillations in a second-order discontinuous system with delay. Zbl 1034.34079Shustin, Eugenii; Fridman, Emilia; Fridman, Leonid 6 2003 Steady modes in a discontinuous control systems with time delay. Zbl 0810.93010Shustin, E. I.; Fridman, E. M.; Fridman, L. M. 6 1993 History-dependent modified sliding mode interception strategies with maximal capture zone. Zbl 1254.93041Glizer, Valery Y.; Turetsky, Vladimir; Fridman, Leonid; Shinar, Josef 5 2012 Uniform sliding mode controllers and uniform sliding surfaces. Zbl 1256.93032Cruz-Zavala, Emmanuel; Moreno, Jaime A.; Fridman, Leonid 5 2012 Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. Zbl 1172.34053Shustin, Eugenii; Fridman, Leonid; Fridman, Emilia; Castaños, Fernando 5 2008 Frequency domain input-output analysis of sliding-mode observers. Zbl 1366.93092Boiko, Igor; Fridman, Leonid 5 2006 On nonlinear \(H^{\infty}\) sliding mode control for a class of nonlinear cascade systems. Zbl 1126.93019Xu, Jian-Xin; Pan, Ya-Jun; Lee, Tong Heng; Fridman, Leonid 5 2005 Nonlocal stabilization via delayed relay control rejecting uncertainty in a time delay. Zbl 1051.93085Fridman, L.; Strygin, V.; Polyakov, A. 5 2004 Slow periodic motions with internal sliding modes in variable structure systems. Zbl 1009.93055Fridman, Leonid M. 5 2002 Design of controllers with arbitrary convergence time. Zbl 1430.93073Pal, Anil Kumar; Kamal, Shyam; Nagar, Shyam Krishna; Bandyopadhyay, Bijnan; Fridman, Leonid 4 2020 Super-twisting algorithm in presence of time and state dependent perturbations. Zbl 1403.93062Castillo, I.; Fridman, L.; Moreno, J. A. 4 2018 Adaptive continuous twisting algorithm. Zbl 1352.93063Moreno, Jaime A.; Negrete, Daniel Y.; Torres-González, Victor; Fridman, Leonid 4 2016 Self-oscillations in dynamic systems. A new methodology via two-relay controllers. Zbl 1423.93005Aguilar, Luis T.; Boiko, Igor; Fridman, Leonid; Iriarte, Rafael 4 2015 Advances in guidance and control of aerospace vehicles using sliding mode control and observation techniques. Zbl 1259.93037Shtessel, Yuri B.; Tournes, Christian H.; Fridman, Leonid 4 2012 Robust output Nash strategies based on sliding mode observation in a two-player differential game. Zbl 1254.49023de Loza, Alejandra Ferreira; Jimenez-Lizarraga, Manuel; Fridman, Leonid 4 2012 Optimal sliding mode algorithms for dynamic systems. Zbl 1259.93001Basin, Michael; Fridman, Leonid; Shi, Peng 4 2012 Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer. Zbl 1198.93184Rodríguez, A.; De León, J.; Fridman, L. 4 2009 Analysis of response of second-order sliding mode controllers to external inputs in frequency domain. Zbl 1284.93053Boiko, Igor; Castellanos, Ivan; Fridman, Leonid 4 2008 Cheap suboptimal control of an integral sliding mode for uncertain systems with delays. Zbl 1366.93309Glizer, Valery Y.; Fridman, Leonid M.; Turetsky, Vladimir 4 2007 Performance analysis of second-order sliding-mode control systems with fast actuators. Zbl 1366.93093Boiko, Igor; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 4 2007 Robustness issues of 2-sliding mode control. Zbl 1145.93323Levant, Arie; Fridman, Leonid 4 2004 Stabilization of amplitude of oscillations via relay delay control. Zbl 1043.93031Fridman, L.; Strygin, V.; Polyakov, A. 4 2003 Separation of motions in multirate discontinuous systems with time delay. Zbl 0932.93040Fridman, L. M. 4 1997 Steady modes in an autonomous system with break and delay. Zbl 0808.34076Fridman, L. M.; Fridman, Eh. M.; Shustin, E. I. 4 1993 When is it reasonable to implement the discontinuous sliding-mode controllers instead of the continuous ones? Frequency domain criteria. Zbl 1411.93043Pérez-Ventura, Ulises; Fridman, Leonid 3 2019 A novel method to estimate the reaching time of the super-twisting algorithm. Zbl 1423.93082Seeber, Richard; Horn, Martin; Fridman, Leonid 3 2018 Chattering analysis of HOSM controlled systems: frequency domain approach. Zbl 1373.93228Rosales, A.; Shtessel, Y.; Fridman, L.; Panathula, C. B. 3 2017 Fault detection and isolation for nonlinear non-affine uncertain systems via sliding-mode techniques. Zbl 1359.93097Ríos, H.; Punta, E.; Fridman, L. 3 2017 Zero-dynamics design and its application to the stabilization of implicit systems. Zbl 1351.93117Hernández, Debbie; Castaños, Fernando; Fridman, Leonid 3 2016 Delayed sliding mode control. Zbl 1329.93043Efimov, Denis; Polyakov, Andrey; Fridman, Leonid; Perruquetti, Wilfrid; Richard, Jean-Pierre 3 2016 LMI-based second-order sliding set design using reduced order of derivatives. Zbl 1336.93038Márquez, Raymundo; Tapia, Alán; Bernal, Miguel; Fridman, Leonid 3 2015 Non-minimum phase switched systems: HOSM-based fault detection and fault identification via Volterra integral equation. Zbl 1334.93091Ríos, H.; Efimov, D.; Davila, J.; Raïssi, T.; Fridman, L.; Zolghadri, A. 3 2014 Second order sliding mode tracking controller for inertia wheel pendulum. Zbl 1282.93070Iriarte, Rafael; Aguilar, Luis T.; Fridman, Leonid 3 2013 Design of controllers with arbitrary convergence time. Zbl 1430.93073Pal, Anil Kumar; Kamal, Shyam; Nagar, Shyam Krishna; Bandyopadhyay, Bijnan; Fridman, Leonid 4 2020 On adaptive sliding mode control without a priori bounded uncertainty. Zbl 1430.93031Roy, Spandan; Baldi, Simone; Fridman, Leonid M. 1 2020 When is it reasonable to implement the discontinuous sliding-mode controllers instead of the continuous ones? Frequency domain criteria. Zbl 1411.93043Pérez-Ventura, Ulises; Fridman, Leonid 3 2019 High-order sliding-mode observer-based input-output linearization. Zbl 1418.93049De Loza, A. Ferreira; Fridman, L.; Aguilar, L. T.; Iriarte, R. 2 2019 Design of super-twisting control gains: a describing function based methodology. Zbl 1406.93076Pérez-Ventura, Ulises; Fridman, Leonid 2 2019 Generalized model reference adaptive control by means of global HOSM differentiators. Zbl 07082432Oliveira, Tiago Roux; Pereira Rodrigues, Victor Hugo; Fridman, Leonid 1 2019 On the strong observability in linear time-varying singular systems. Zbl 1415.93061Hernández, Debbie; Bejarano, Francisco Javier; Dávila, Jorge; Fridman, Leonid M. 1 2019 Super-twisting algorithm in presence of time and state dependent perturbations. Zbl 1403.93062Castillo, I.; Fridman, L.; Moreno, J. A. 4 2018 A novel method to estimate the reaching time of the super-twisting algorithm. Zbl 1423.93082Seeber, Richard; Horn, Martin; Fridman, Leonid 3 2018 Higher order sliding-mode observers with scaled dissipative stabilisers. Zbl 1403.93061Apaza-Perez, W. A.; Fridman, L.; Moreno, J. A. 2 2018 Barrier function-based adaptive sliding mode control. Zbl 1400.93049Obeid, Hussein; Fridman, Leonid M.; Laghrouche, Salah; Harmouche, Mohamed 2 2018 Dissipative approach to sliding mode observers design for uncertain mechanical systems. Zbl 1378.93029Apaza-Perez, W. Alejandro; Moreno, Jaime A.; Fridman, Leonid M. 2 2018 Output-feedback variable gain super-twisting algorithm for arbitrary relative degree systems. Zbl 1401.93061Oliveira, Tiago Roux; Pereira Rodrigues, Victor Hugo; Estrada, Antonio; Fridman, Leonid 1 2018 Integral sliding-mode observation and control for switched uncertain linear time invariant systems: a robustifying strategy. Zbl 1397.93042Galván-Guerra, Rosalba; Fridman, Leonid; Iriarte, Rafael; Velázquez-Velázquez, Juan-Eduardo; Steinberger, Martin 1 2018 Continuous sliding-mode control for singular systems. Zbl 1396.93032Hernández, D.; Fridman, L.; Golkani, M. 1 2018 Twisting sliding mode control with adaptation: Lyapunov design, methodology and application. Zbl 1351.93038Shtessel, Yuri B.; Moreno, Jaime A.; Fridman, Leonid M. 8 2017 Global and exact HOSM differentiator with dynamic gains for output-feedback sliding mode control. Zbl 1372.93068Oliveira, Tiago Roux; Estrada, Antonio; Fridman, Leonid M. 7 2017 Design of continuous twisting algorithm. Zbl 1370.93078Torres-González, Víctor; Sanchez, Tonametl; Fridman, Leonid M.; Moreno, Jaime A. 7 2017 Nonlinear sliding mode control design: an LMI approach. Zbl 1370.93077Tapia, Alán; Bernal, Miguel; Fridman, Leonid 6 2017 Chattering analysis of HOSM controlled systems: frequency domain approach. Zbl 1373.93228Rosales, A.; Shtessel, Y.; Fridman, L.; Panathula, C. B. 3 2017 Fault detection and isolation for nonlinear non-affine uncertain systems via sliding-mode techniques. Zbl 1359.93097Ríos, H.; Punta, E.; Fridman, L. 3 2017 High-order sliding-mode observer for linear time-varying systems with unknown inputs. Zbl 1373.93076Galván-Guerra, R.; Fridman, L.; Dávila, J. 2 2017 Combined backstepping and HOSM control design for a class of nonlinear MIMO systems. Zbl 1356.93020Estrada, Antonio; Fridman, Leonid; Iriarte, Rafael 2 2017 Adaptive sliding mode control and observation. Zbl 1353.93030Shtessel, Yuri; Fridman, Leonid; Plestan, Franck 11 2016 Continuous terminal sliding-mode controller. Zbl 1338.93100Kamal, Shyam; Moreno, Jaime A.; Chalanga, Asif; Bandyopadhyay, Bijnan; Fridman, Leonid M. 9 2016 Adaptive continuous twisting algorithm. Zbl 1352.93063Moreno, Jaime A.; Negrete, Daniel Y.; Torres-González, Victor; Fridman, Leonid 4 2016 Zero-dynamics design and its application to the stabilization of implicit systems. Zbl 1351.93117Hernández, Debbie; Castaños, Fernando; Fridman, Leonid 3 2016 Delayed sliding mode control. Zbl 1329.93043Efimov, Denis; Polyakov, Andrey; Fridman, Leonid; Perruquetti, Wilfrid; Richard, Jean-Pierre 3 2016 Homogeneity based uniform stability analysis for time-varying systems. Zbl 1359.93402Ríos, Héctor; Efimov, Denis; Fridman, Leonid M.; Moreno, Jaime A.; Perruquetti, Wilfrid 2 2016 Output feedback sliding-mode control with unmatched disturbances, an ISS approach. Zbl 1351.93033Aparicio, Andrea; Castaños, Fernando; Fridman, Leonid 2 2016 Editorial: From adaptive control to variable structure systems – seeking harmony. Special issue devoted to 70th birthday of Professor Liu Hsu. Zbl 1356.00068Roux Oliveira, Tiago (ed.); Fridman, Leonid (ed.); Ortega, Romeo (ed.) 2 2016 Continuous output integral sliding mode control for switched linear systems. Zbl 1344.93028Galván-Guerra, R.; Fridman, L.; Velázquez-Velázquez, J. E.; Kamal, S.; Bandyopadhyay, B. 2 2016 Fault tolerant control allocation via continuous integral sliding-modes: a HOSM-observer approach. Zbl 1309.93053Ríos, Héctor; Kamal, Shyam; Fridman, Leonid M.; Zolghadri, Ali 14 2015 Continuous nested algorithms: the fifth generation of sliding mode controllers. Zbl 1321.93024Fridman, Leonid; Moreno, Jaime A.; Bandyopadhyay, Bijnan; Kamal, Shyam; Chalanga, Asif 9 2015 Output tracking of systems subjected to perturbations and a class of actuator faults based on HOSM observation and identification. Zbl 1326.93034Ferreira de Loza, Alejandra; Cieslak, Jérôme; Henry, David; Zolghadri, Ali; Fridman, Leonid M. 8 2015 Self-oscillations in dynamic systems. A new methodology via two-relay controllers. Zbl 1423.93005Aguilar, Luis T.; Boiko, Igor; Fridman, Leonid; Iriarte, Rafael 4 2015 LMI-based second-order sliding set design using reduced order of derivatives. Zbl 1336.93038Márquez, Raymundo; Tapia, Alán; Bernal, Miguel; Fridman, Leonid 3 2015 Identification of vehicle parameters and estimation of vertical forces. Zbl 1332.93357Imine, H.; Fridman, L.; Madani, T. 1 2015 Fault detection and isolation for nonlinear systems via high-order-sliding-mode multiple-observer. Zbl 1327.93109Ríos, H.; Davila, J.; Fridman, L.; Edwards, C. 1 2015 Stability notions and Lyapunov functions for sliding mode control systems. Zbl 1372.93072Polyakov, Andrey; Fridman, Leonid 40 2014 Integral sliding-mode control for linear time-invariant implicit systems. Zbl 1298.93103Castaños, Fernando; Hernández, Debbie; Fridman, Leonid M. 12 2014 Super twisting control of a parametrically excited overhead crane. Zbl 1372.93075Vázquez, Carlos; Collado, Joaquin; Fridman, Leonid 8 2014 Robust ouput LQ optimal control via integral sliding modes. Zbl 1288.93001Fridman, Leonid; Poznyak, Alexander; Bejarano, Francisco Javier 7 2014 Non-minimum phase switched systems: HOSM-based fault detection and fault identification via Volterra integral equation. Zbl 1334.93091Ríos, H.; Efimov, D.; Davila, J.; Raïssi, T.; Fridman, L.; Zolghadri, A. 3 2014 Nested backward compensation of unmatched perturbations via HOSM observation. Zbl 1372.93060Ferreira de Loza, A.; Punta, E.; Fridman, L.; Bartolini, G.; Delprat, S. 2 2014 On functional observers for linear systems with unknown inputs and HOSM differentiators. Zbl 1372.93050Angulo, Marco Tulio; Moreno, Jaime A.; Fridman, Leonid 2 2014 Robust exact uniformly convergent arbitrary order differentiator. Zbl 1364.93119Angulo, Marco Tulio; Moreno, Jaime A.; Fridman, Leonid 27 2013 Unmatched uncertainties compensation based on high-order sliding mode observation. Zbl 1273.93039Ferreira de Loza, Alejandra; Bejarano, Francisco J.; Fridman, Leonid 11 2013 Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems. Zbl 1364.93118Angulo, Marco Tulio; Fridman, Leonid; Moreno, Jaime A. 8 2013 Second order sliding mode tracking controller for inertia wheel pendulum. Zbl 1282.93070Iriarte, Rafael; Aguilar, Luis T.; Fridman, Leonid 3 2013 Higher order sliding mode based accurate tracking of unmatched perturbed outputs. Zbl 1291.93069Fridman, Leonid; Estrada, Antonio; Ferreira De Loza, Alejandra 1 2013 Cascaded-based stabilization of time-varying systems using second-order sliding modes. Zbl 1273.93038Estrada, Antonio; Loria, Antonio; Santiesteban, Raúl; Fridman, Leonid 1 2013 Interval estimation for LPV systems applying high order sliding mode techniques. Zbl 1257.93090Efimov, Denis; Fridman, Leonid; Raïssi, Tarek; Zolghadri, Ali; Seydou, Ramatou 29 2012 Variable gain super-twisting sliding mode control. Zbl 1369.93124Gonzalez, Tenoch; Moreno, Jaime A.; Fridman, Leonid 20 2012 Super twisting control algorithm for the attitude tracking of a four rotors UAV. Zbl 1254.93072Derafa, L.; Benallegue, A.; Fridman, L. 20 2012 Output-feedback finite-time stabilization of disturbed LTI systems. Zbl 1238.93080Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 18 2012 High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs. Zbl 1256.93034Ríos, Héctor; Davila, Jorge; Fridman, Leonid 10 2012 State observation for nonlinear switched systems using nonhomogeneous high-order sliding mode observers. Zbl 1286.93035Davila, J.; Ríos, H.; Fridman, L. 8 2012 History-dependent modified sliding mode interception strategies with maximal capture zone. Zbl 1254.93041Glizer, Valery Y.; Turetsky, Vladimir; Fridman, Leonid; Shinar, Josef 5 2012 Uniform sliding mode controllers and uniform sliding surfaces. Zbl 1256.93032Cruz-Zavala, Emmanuel; Moreno, Jaime A.; Fridman, Leonid 5 2012 Advances in guidance and control of aerospace vehicles using sliding mode control and observation techniques. Zbl 1259.93037Shtessel, Yuri B.; Tournes, Christian H.; Fridman, Leonid 4 2012 Robust output Nash strategies based on sliding mode observation in a two-player differential game. Zbl 1254.49023de Loza, Alejandra Ferreira; Jimenez-Lizarraga, Manuel; Fridman, Leonid 4 2012 Optimal sliding mode algorithms for dynamic systems. Zbl 1259.93001Basin, Michael; Fridman, Leonid; Shi, Peng 4 2012 Position stabilization of a Stewart platform: high-order sliding mode observers based approach. Zbl 1254.93142Fraguela, L.; Fridman, L.; Alexandrov, V. V. 3 2012 Generating oscillations in inertia wheel pendulum via two-relay controller. Zbl 1261.93026Aguilar, Luis T.; Boiko, Igor M.; Fridman, Leonid M.; Freidovich, Leonid B. 2 2012 Two relay controller for real time trajectory generation and its application to inverted orbital stabilization of inertia wheel pendulum via quasi-continuous HOSM. Zbl 1282.93068Estrada, Antonio; Aguilar, Luis T.; Iriarte, Rafael; Fridman, Leonid 1 2012 Output integral sliding mode control to stabilize position of a Stewart platform. Zbl 1254.93040Fraguela, L.; Fridman, L.; Alexandrov, V. V. 1 2012 Uniform robust exact differentiator. Zbl 1368.94028Cruz-Zavala, Emmanuel; Moreno, Jaime A.; Fridman, Leonid M. 58 2011 Integral sliding mode control for nonlinear systems with matched and unmatched perturbations. Zbl 1368.93264Rubagotti, Matteo; Estrada, Antonio; Castaños, Fernando; Ferrara, Antonella; Fridman, Leonid 25 2011 Global sliding-mode observer with adjusted gains for locally Lipschitz systems. Zbl 1216.93019Efimov, D.; Fridman, L. 20 2011 High-order sliding-mode observation for linear systems with unknown inputs. Zbl 1225.93034Fridman, Leonid; Davila, Jorge; Levant, Arie 17 2011 A hybrid robust non-homogeneous finite-time differentiator. Zbl 1368.93082Efimov, Denis V.; Fridman, Leonid 15 2011 State exact reconstruction for switched linear systems via a super-twisting algorithm. Zbl 1233.93040Bejarano, Francisco J.; Fridman, Leonid 12 2011 Robust exact finite-time output based control using high-order sliding modes. Zbl 1260.93031Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 8 2011 Dynamic switching surfaces for output sliding mode control: an \({\mathcal H}_\infty\) approach. Zbl 1227.93024Castaños, Fernando; Fridman, Leonid 6 2011 Approximability of nonlinear affine control systems. Zbl 1225.93048Azhmyakov, V.; Egerstedt, M.; Fridman, L.; Poznyak, A. 6 2011 Special issue: Variable structure methods for hybrid systems. Selected papers based on the presentations at the two special session of VSS methods of control and observation of hybrid systems, ADHS ’09, during the 3rd IFAC international conference on analysis an design of hybrid systems 2009, Zaragoza, Spain, September 16–18, 2009. Zbl 1283.93007Fridman, Leonid (ed.); Davila, Jorge (ed.); Levant, Arie (ed.) 1 2011 High order sliding mode observer for linear systems with unbounded unknown inputs. Zbl 1213.93019Bejarano, Francisco J.; Fridman, Leonid 24 2010 Quasi-continuous HOSM control for systems with unmatched perturbations. Zbl 1218.93026Estrada, Antonio; Fridman, Leonid 12 2010 Accuracy of homogeneous sliding modes in the presence of fast actuators. Zbl 1368.93401Levant, Arie; Fridman, Leonid M. 11 2010 Integral HOSM semiglobal controller for finite-time exact compensation of unmatched perturbations. Zbl 1368.93083Estrada, Antonio; Fridman, Leonid M. 10 2010 Unknown input and state estimation for unobservable systems. Zbl 1194.93112Bejarano, Francisco J.; Fridman, Leonid; Poznyak, Alexander 15 2009 Generating self-excited oscillations via two-relay controller. Zbl 1367.93384Aguilar, Luis T.; Boiko, Igor; Fridman, Leonid; Iriarte, Rafael 11 2009 Finite-time state observation for nonlinear uncertain systems via higher-order sliding modes. Zbl 1168.93363Davila, Jorge; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 10 2009 Output integral sliding mode for min-max optimization of multi-plant linear uncertain systems. Zbl 1367.93010Bejarano, Francisco Javier; Fridman, Leonid M.; Poznyak, Alexander S. 7 2009 On the transfer properties of the “generalized sub-optimal” second-order sliding mode control algorithm. Zbl 1367.93117Boiko, Igor; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 6 2009 Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer. Zbl 1198.93184Rodríguez, A.; De León, J.; Fridman, L. 4 2009 Generating self-excited oscillations for underactuated mechanical systems via two-relay controller. Zbl 1190.93017Aguilar, Luis T.; Boiko, Igor; Fridman, Leonid; Iriarte, Rafael 3 2009 Higher-order sliding-mode observer for state estimation and input reconstruction in nonlinear systems. Zbl 1284.93057Fridman, Leonid; Shtessel, Yuri; Edwards, Christopher; Yan, Xing-Gang 41 2008 High-order sliding-mode observer for a quadrotor UAV. Zbl 1284.93052Benallegue, A.; Mokhtari, A.; Fridman, L. 21 2008 Modern sliding mode control theory. New perspectives and applications. Zbl 1140.93005Bartolini, Giorgio (ed.); Fridman, Leonid (ed.); Pisano, Alessandro (ed.); Usai, Elio (ed.) 19 2008 Editorial: Higher order sliding modes. Zbl 1298.00181Shtessel, Yuri B. (ed.); Fridman, Leonid (ed.); Zinober, Alan (ed.) 6 2008 Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. Zbl 1172.34053Shustin, Eugenii; Fridman, Leonid; Fridman, Emilia; Castaños, Fernando 5 2008 Analysis of response of second-order sliding mode controllers to external inputs in frequency domain. Zbl 1284.93053Boiko, Igor; Castellanos, Ivan; Fridman, Leonid 4 2008 Observation and identification via high-order sliding modes. Zbl 1144.93007Fridman, Leonid; Levant, Arie; Davila, Jorge 3 2008 Parameter identification via modified twisting algorithm. Zbl 1152.93344Castellanos, M. I.; Boiko, I.; Fridman, L. 1 2008 A comprehensive analysis of chattering in second order sliding mode control systems. Zbl 1144.93021Boiko, Igor; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 1 2008 Observation of linear systems with unknown inputs via high-order sliding-modes. Zbl 1128.93312Fridman, Leonid; Levant, Arie; Davila, Jorge 36 2007 Analysis of chattering in systems with second-order sliding modes. Zbl 1366.93378Boiko, Igor; Fridman, Leonid; Pisano, Alessandro; Usai, Elio 35 2007 Sliding mode identification and control for linear uncertain stochastic systems. Zbl 1160.93396Basin, M.; Ferreira, A.; Fridman, L. 24 2007 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,490 Authors 73 Fridman, Leonid M. 33 Efimov, Denis V. 25 Polyakov, Andrey 23 Shtessel, Yuri B. 21 Basin, Michael V. 21 Boiko, Igor M. 21 Moreno, Jaime A. 20 Levant, Arie 20 Perruquetti, Wilfrid 20 Poznyak, Aleksandr Semënovich 15 Edwards, Christopher 15 Ferrara, Antonella 15 Pisano, Alessandro 15 Usai, Elio 14 Dávila, Jorge 14 Oliveira, Tiago Roux 14 Shi, Peng 13 Ríos, Héctor 12 Raissi, Tarek 11 Bejarano, Francisco Javier 11 Glizer, Valery Y. 9 Bartolini, Giorgio 9 Richard, Jean-Pierre 8 Azhmyakov, Vadim 8 Bandyopadhyay, Bijnan 8 Bartoszewicz, Andrzej 8 Floquet, Thierry 8 Hsu, Liu 8 Li, Shihua 8 Punta, Elisabetta 8 Rodriguez-Ramirez, Pablo 8 Wu, Ligang 7 Alwi, Halim 7 Barbot, Jean-Pierre 7 Defoort, Michael 7 Fridman, Emilia 7 Liu, Ming 7 Loukianov, Alexander G. 7 Muñoz-Vázquez, Aldo-Jonathan 7 Peixoto, Alessandro Jacoud 7 Plestan, Franck 7 Tian, Bailing 7 Xia, Yuanqing 7 Zhu, Quanmin 7 Zolghadri, Ali 6 Aguilar, Luis T. 6 Alvarez, Joaquín 6 Angulo, Marco Tulio 6 Castaños, Fernando 6 Estrada, Antonio 6 Kamal, Shyam 6 Li, Hongyi 6 Niu, Yugang 6 Orlov, Yury V. 6 Polyakov, A. E. 6 Spurgeon, Sarah K. 6 Turetsky, Vladimir 6 Zhu, Fanglai 6 Zong, Qun 5 Ding, Shihong 5 Djemai, Mohamed 5 Ferreira de Loza, Alejandra 5 Gómez-Gutiérrez, David 5 Iriarte, Rafael 5 Livne, Miki 5 Reichhartinger, Markus 5 Sánchez-Torres, Juan Diego 5 Utkin, Vadim Ivanovich 5 Veluvolu, Kalyana C. 5 Yang, Junqi 5 Yu, Xinghuo 5 Zheng, Gang 4 Aguilar-Ibáñez, Carlos Fernando 4 Bernal, Miguel 4 Calderon-Alvarez, Dario 4 Castillo-Toledo, Bernardino 4 Chang, Jeang-Lin 4 Galicki, Mirosław 4 Glumineau, Alain 4 Hu, Jun 4 Jiang, Bin 4 Jimenez-Lizarraga, Manuel 4 Kang, Hee-Jun 4 Krstić, Miroslav 4 Latosiński, Paweł 4 Liu, Jianxing 4 Liu, Zhen 4 Mobayen, Saleh 4 Pukdeboon, Chutiphon 4 Rascón, Raúl 4 Shi, Shang 4 Shinar, Josef 4 Suarez-Castañon, Miguel Santiago 4 Tan, Chee Pin 4 Tran, Xuan-Toa 4 Ushirobira, Rosane 4 Wang, Zidong 4 Yang, Guanghong 4 Yao, Deyin 4 Zhao, Jun ...and 1,390 more Authors all top 5 Cited in 75 Serials 155 Journal of the Franklin Institute 135 Automatica 106 International Journal of Control 56 International Journal of Robust and Nonlinear Control 49 Asian Journal of Control 43 Nonlinear Dynamics 34 Mathematical Problems in Engineering 29 European Journal of Control 27 International Journal of Systems Science 21 International Journal of Adaptive Control and Signal Processing 18 Nonlinear Analysis. Hybrid Systems 13 Systems & Control Letters 11 International Journal of Systems Science. Principles and Applications of Systems and Integration 10 Complexity 9 Chaos, Solitons and Fractals 8 Applied Mathematics and Computation 7 International Journal of Applied Mathematics and Computer Science 6 Information Sciences 6 SIAM Journal on Control and Optimization 6 Circuits, Systems, and Signal Processing 6 Journal of Control Science and Engineering 5 Kybernetika 4 Journal of Optimization Theory and Applications 4 Optimal Control Applications & Methods 4 Applied Mathematical Modelling 4 Abstract and Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 3 Automation and Remote Control 3 Discrete Dynamics in Nature and Society 3 Differential Equations 3 Journal of Systems Science and Complexity 2 Israel Journal of Mathematics 2 Prikladnaya Matematika i Mekhanika 2 Neural Networks 2 Journal of Nonlinear Science 2 Journal of Vibration and Control 2 International Game Theory Review 2 Arabian Journal for Science and Engineering 2 Journal of Nonlinear Dynamics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Differential Equations 1 Kybernetes 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Moscow University Computational Mathematics and Cybernetics 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Discrete Event Dynamic Systems 1 Journal of Dynamics and Differential Equations 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Journal of Dynamical and Control Systems 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Thai Journal of Mathematics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Algorithms 1 Numerical Algebra, Control and Optimization 1 ISRN Applied Mathematics 1 Journal of Theoretical Biology 1 Control Theory and Technology 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 28 Fields 832 Systems theory; control (93-XX) 86 Ordinary differential equations (34-XX) 61 Mechanics of particles and systems (70-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 26 Dynamical systems and ergodic theory (37-XX) 22 Probability theory and stochastic processes (60-XX) 22 Operations research, mathematical programming (90-XX) 18 Computer science (68-XX) 14 Biology and other natural sciences (92-XX) 12 Information and communication theory, circuits (94-XX) 9 Partial differential equations (35-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year