Edit Profile (opens in new tab) Levant, Arie Compute Distance To: Compute Author ID: levant.arie Published as: Levant, Arie; Levant, A. Documents Indexed: 53 Publications since 1993 1 Contribution as Editor Co-Authors: 33 Co-Authors with 42 Joint Publications 953 Co-Co-Authors all top 5 Co-Authors 12 single-authored 11 Fridman, Leonid M. 7 Livne, Miki 5 Dávila, Jorge 5 Polyakov, Andrey 4 Bartolini, Giorgio 4 Efimov, Denis V. 4 Perruquetti, Wilfrid 3 Dvir, Yaniv 3 Hanan, Avi 3 Jbara, Adam 3 Usai, Elio 2 Alelishvili, Lela 2 Angulo, Marco Tulio 2 Barbot, Jean-Pierre 2 Li, Shihua 2 Pisano, Alessandro 2 Yu, Xinghuo 1 Boisliveau, Robert 1 Ding, Shihong 1 Emel’yanov, Stanislav Vasil’evich 1 Ferrara, Antonella 1 Ghanes, Malek 1 Korovin, Sergeĭ Konstantinovich 1 Lunz, Davin 1 Michael, Alon 1 Pavlov, Yuriĭ Leonidovich 1 Plestan, Franck 1 Punta, Elisabetta 1 Shkolnikov, Ilya A. 1 Shtessel, Yuri B. 1 Shustin, Boris 1 Taleb, Mohammed 1 Zheng, Gang all top 5 Serials 15 IEEE Transactions on Automatic Control 10 Automatica 6 International Journal of Control 3 International Journal of Systems Science 3 International Journal of Robust and Nonlinear Control 1 Differential Equations 1 Kybernetika 1 IMA Journal of Mathematical Control and Information 1 European Journal of Control 1 Nonlinear Analysis. Hybrid Systems all top 5 Fields 53 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 2,035 times in 1,003 Documents Cited by ▼ Year ▼ Higher-order sliding modes, differentiation and output-feedback control. Zbl 1049.93014Levant, Arie 443 2003 Sliding order and sliding accuracy in sliding mode control. Zbl 0789.93063Levant, Arie 301 1993 Robust exact differentiation via sliding mode technique. Zbl 0915.93013Levant, Arie 268 1998 Homogeneity approach to high-order sliding mode design. Zbl 1093.93003Levant, Arie 128 2005 Second-order sliding-mode observer for mechanical systems. Zbl 1365.93071Davila, Jorge; Fridman, Leonid; Levant, Arie 127 2005 Principles of 2-sliding mode design. Zbl 1261.93027Levant, Arie 94 2007 Quasi-continuous high-order sliding-mode controllers. Zbl 1365.93072Levant, Arie 79 2005 Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence. Zbl 1001.93011Levant, Arie 70 2001 Smooth second-order sliding modes: missile guidance application. Zbl 1130.93392Shtessel, Yuri B.; Shkolnikov, Ilya A.; Levant, Arie 67 2007 Observation of linear systems with unknown inputs via high-order sliding-modes. Zbl 1128.93312Fridman, Leonid; Levant, Arie; Davila, Jorge 50 2007 Chattering analysis. Zbl 1368.93084Levant, Arie 39 2010 Simple homogeneous sliding-mode controller. Zbl 1335.93032Ding, Shihong; Levant, Arie; Li, Shihua 38 2016 Exact differentiation of signals with unbounded higher derivatives. Zbl 1369.93213Levant, Arie; Livne, Miki 24 2012 Higher order sliding modes as a natural phenomenon in control theory. Zbl 0854.93021Fridman, Leonid; Levant, Arie 24 1996 Proper discretization of homogeneous differentiators. Zbl 1297.93046Livne, Miki; Levant, Arie 24 2014 Output-feedback finite-time stabilization of disturbed LTI systems. Zbl 1238.93080Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 22 2012 On second order sliding mode controllers. Zbl 0940.93018Bartolini, Giorgio; Ferrara, Antonella; Levant, Arie; Usai, Elio 22 1999 Adjustment of high-order sliding-mode controllers. Zbl 1298.93106Levant, Arie; Michael, Alon 18 2009 Weighted homogeneity and robustness of sliding mode control. Zbl 1344.93029Levant, Arie; Livne, Miki 17 2016 High-order sliding-mode observation for linear systems with unknown inputs. Zbl 1225.93034Fridman, Leonid; Davila, Jorge; Levant, Arie 17 2011 Integral high-order sliding modes. Zbl 1366.93103Levant, Arie; Alelishvili, Lela 15 2007 Realization and discretization of asymptotically stable homogeneous systems. Zbl 1396.65109Efimov, Denis; Polyakov, Andrey; Levant, Arie; Perruquetti, Wilfrid 14 2017 Accuracy of homogeneous sliding modes in the presence of fast actuators. Zbl 1368.93401Levant, Arie; Fridman, Leonid M. 13 2010 Adaptation of sliding modes. Zbl 1273.93035Bartolini, Giorgio; Levant, Arie; Plestan, Franck; Taleb, Mohammed; Punta, Elisabetta 12 2013 Sliding-mode-based differentiation and filtering. Zbl 1423.93078Levant, Arie; Yu, Xinghuo 9 2018 Globally convergent differentiators with variable gains. Zbl 1401.93057Levant, Arie; Livne, Miki 9 2018 Robust exact finite-time output based control using high-order sliding modes. Zbl 1260.93031Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 8 2011 Generalized homogeneous quasi-continuous controllers. Zbl 1284.93060Levant, Arie; Pavlov, Yuri 7 2008 Finite differences in homogeneous discontinuous control. Zbl 1366.93102Levant, Arie 6 2007 Robust exact filtering differentiators. Zbl 1451.93391Levant, Arie; Livne, Miki 6 2020 Delay estimation via sliding mode for nonlinear time-delay systems. Zbl 1388.93029Zheng, Gang; Polyakov, Andrey; Levant, Arie 6 2018 Higher-order sliding modes for the output-feedback control of nonlinear uncertain systems. Zbl 1009.93009Bartolini, Giorgio; Levant, Arie; Pisano, Alessandro; Usai, Elio 6 2002 Adaptive second-order sliding mode control with uncertainty compensation. Zbl 1353.93021Bartolini, G.; Levant, A.; Pisano, A.; Usai, E. 6 2016 Convergence acceleration for observers by gain commutation. Zbl 1401.93049Efimov, Denis; Polyakov, Andrey; Levant, Arie; Perruquetti, Wilfrid 5 2018 Accelerated twisting algorithm. Zbl 1360.93290Dvir, Yaniv; Levant, Arie 5 2015 Quasi-continuous MIMO sliding-mode control. Zbl 1423.93077Levant, Arie; Shustin, Boris 4 2018 A new varying-gain-exponent-based differentiator/observer: an efficient balance between linear and sliding-mode algorithms. Zbl 07320112Ghanes, Malek; Barbot, Jean-Pierre; Fridman, Leonid; Levant, Arie; Boisliveau, Robert 4 2020 Higher-order sliding modes in control systems. Zbl 0815.93015Emel’yanov, S. V.; Korovin, S. K.; Levant, A. 4 1993 Robustness issues of 2-sliding mode control. Zbl 1145.93323Levant, Arie; Fridman, Leonid 3 2004 Supervisory acceleration of convergence for homogeneous systems. Zbl 1403.93163Efimov, Denis; Levant, A.; Polyakov, A.; Perruquetti, W. 3 2018 Discrete differentiators based on sliding modes. Zbl 1430.93025Barbot, Jean-Pierre; Levant, Arie; Livne, Miki; Lunz, Davin 2 2020 Practical relative degree approach in sliding-mode control. Zbl 1291.93074Levant, Arie 2 2013 Discrete-time sliding-mode-based differentiation. Zbl 1291.93075Levant, Arie; Livne, Miki 2 2013 Accuracy of some popular non-homogeneous 2-sliding modes. Zbl 1369.93127Levant, Arie; Li, Shihua; Yu, Xinghuo 2 2013 Sliding mode order and accuracy in sliding mode adaptation and convergence acceleration. Zbl 1321.93022Dvir, Yaniv; Levant, Arie 2 2015 Homogeneous quasi-continuous sliding mode control. Zbl 1140.93341Levant, Arie 2 2006 Observation and identification via high-order sliding modes. Zbl 1144.93007Fridman, Leonid; Levant, Arie; Davila, Jorge 2 2008 Low-chattering discretization of homogeneous differentiators. Zbl 07564912Hanan, Avi; Levant, Arie; Jbara, Adam 2 2022 Acceleration of finite-time stable homogeneous systems. Zbl 1390.93705Dvir, Y.; Levant, A.; Efimov, D.; Polyakov, A.; Perruquetti, W. 1 2018 Variable measurement step in 2-sliding control. Zbl 1249.93027Levant, Arie 1 2000 Low-chattering discretization of homogeneous differentiators. Zbl 07564912Hanan, Avi; Levant, Arie; Jbara, Adam 2 2022 Robust exact filtering differentiators. Zbl 1451.93391Levant, Arie; Livne, Miki 6 2020 A new varying-gain-exponent-based differentiator/observer: an efficient balance between linear and sliding-mode algorithms. Zbl 07320112Ghanes, Malek; Barbot, Jean-Pierre; Fridman, Leonid; Levant, Arie; Boisliveau, Robert 4 2020 Discrete differentiators based on sliding modes. Zbl 1430.93025Barbot, Jean-Pierre; Levant, Arie; Livne, Miki; Lunz, Davin 2 2020 Sliding-mode-based differentiation and filtering. Zbl 1423.93078Levant, Arie; Yu, Xinghuo 9 2018 Globally convergent differentiators with variable gains. Zbl 1401.93057Levant, Arie; Livne, Miki 9 2018 Delay estimation via sliding mode for nonlinear time-delay systems. Zbl 1388.93029Zheng, Gang; Polyakov, Andrey; Levant, Arie 6 2018 Convergence acceleration for observers by gain commutation. Zbl 1401.93049Efimov, Denis; Polyakov, Andrey; Levant, Arie; Perruquetti, Wilfrid 5 2018 Quasi-continuous MIMO sliding-mode control. Zbl 1423.93077Levant, Arie; Shustin, Boris 4 2018 Supervisory acceleration of convergence for homogeneous systems. Zbl 1403.93163Efimov, Denis; Levant, A.; Polyakov, A.; Perruquetti, W. 3 2018 Acceleration of finite-time stable homogeneous systems. Zbl 1390.93705Dvir, Y.; Levant, A.; Efimov, D.; Polyakov, A.; Perruquetti, W. 1 2018 Realization and discretization of asymptotically stable homogeneous systems. Zbl 1396.65109Efimov, Denis; Polyakov, Andrey; Levant, Arie; Perruquetti, Wilfrid 14 2017 Simple homogeneous sliding-mode controller. Zbl 1335.93032Ding, Shihong; Levant, Arie; Li, Shihua 38 2016 Weighted homogeneity and robustness of sliding mode control. Zbl 1344.93029Levant, Arie; Livne, Miki 17 2016 Adaptive second-order sliding mode control with uncertainty compensation. Zbl 1353.93021Bartolini, G.; Levant, A.; Pisano, A.; Usai, E. 6 2016 Accelerated twisting algorithm. Zbl 1360.93290Dvir, Yaniv; Levant, Arie 5 2015 Sliding mode order and accuracy in sliding mode adaptation and convergence acceleration. Zbl 1321.93022Dvir, Yaniv; Levant, Arie 2 2015 Proper discretization of homogeneous differentiators. Zbl 1297.93046Livne, Miki; Levant, Arie 24 2014 Adaptation of sliding modes. Zbl 1273.93035Bartolini, Giorgio; Levant, Arie; Plestan, Franck; Taleb, Mohammed; Punta, Elisabetta 12 2013 Practical relative degree approach in sliding-mode control. Zbl 1291.93074Levant, Arie 2 2013 Discrete-time sliding-mode-based differentiation. Zbl 1291.93075Levant, Arie; Livne, Miki 2 2013 Accuracy of some popular non-homogeneous 2-sliding modes. Zbl 1369.93127Levant, Arie; Li, Shihua; Yu, Xinghuo 2 2013 Exact differentiation of signals with unbounded higher derivatives. Zbl 1369.93213Levant, Arie; Livne, Miki 24 2012 Output-feedback finite-time stabilization of disturbed LTI systems. Zbl 1238.93080Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 22 2012 High-order sliding-mode observation for linear systems with unknown inputs. Zbl 1225.93034Fridman, Leonid; Davila, Jorge; Levant, Arie 17 2011 Robust exact finite-time output based control using high-order sliding modes. Zbl 1260.93031Angulo, Marco Tulio; Fridman, Leonid; Levant, Arie 8 2011 Chattering analysis. Zbl 1368.93084Levant, Arie 39 2010 Accuracy of homogeneous sliding modes in the presence of fast actuators. Zbl 1368.93401Levant, Arie; Fridman, Leonid M. 13 2010 Adjustment of high-order sliding-mode controllers. Zbl 1298.93106Levant, Arie; Michael, Alon 18 2009 Generalized homogeneous quasi-continuous controllers. Zbl 1284.93060Levant, Arie; Pavlov, Yuri 7 2008 Observation and identification via high-order sliding modes. Zbl 1144.93007Fridman, Leonid; Levant, Arie; Davila, Jorge 2 2008 Principles of 2-sliding mode design. Zbl 1261.93027Levant, Arie 94 2007 Smooth second-order sliding modes: missile guidance application. Zbl 1130.93392Shtessel, Yuri B.; Shkolnikov, Ilya A.; Levant, Arie 67 2007 Observation of linear systems with unknown inputs via high-order sliding-modes. Zbl 1128.93312Fridman, Leonid; Levant, Arie; Davila, Jorge 50 2007 Integral high-order sliding modes. Zbl 1366.93103Levant, Arie; Alelishvili, Lela 15 2007 Finite differences in homogeneous discontinuous control. Zbl 1366.93102Levant, Arie 6 2007 Homogeneous quasi-continuous sliding mode control. Zbl 1140.93341Levant, Arie 2 2006 Homogeneity approach to high-order sliding mode design. Zbl 1093.93003Levant, Arie 128 2005 Second-order sliding-mode observer for mechanical systems. Zbl 1365.93071Davila, Jorge; Fridman, Leonid; Levant, Arie 127 2005 Quasi-continuous high-order sliding-mode controllers. Zbl 1365.93072Levant, Arie 79 2005 Robustness issues of 2-sliding mode control. Zbl 1145.93323Levant, Arie; Fridman, Leonid 3 2004 Higher-order sliding modes, differentiation and output-feedback control. Zbl 1049.93014Levant, Arie 443 2003 Higher-order sliding modes for the output-feedback control of nonlinear uncertain systems. Zbl 1009.93009Bartolini, Giorgio; Levant, Arie; Pisano, Alessandro; Usai, Elio 6 2002 Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence. Zbl 1001.93011Levant, Arie 70 2001 Variable measurement step in 2-sliding control. Zbl 1249.93027Levant, Arie 1 2000 On second order sliding mode controllers. Zbl 0940.93018Bartolini, Giorgio; Ferrara, Antonella; Levant, Arie; Usai, Elio 22 1999 Robust exact differentiation via sliding mode technique. Zbl 0915.93013Levant, Arie 268 1998 Higher order sliding modes as a natural phenomenon in control theory. Zbl 0854.93021Fridman, Leonid; Levant, Arie 24 1996 Sliding order and sliding accuracy in sliding mode control. Zbl 0789.93063Levant, Arie 301 1993 Higher-order sliding modes in control systems. Zbl 0815.93015Emel’yanov, S. V.; Korovin, S. K.; Levant, A. 4 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,650 Authors 84 Fridman, Leonid M. 35 Shtessel, Yuri B. 32 Efimov, Denis V. 28 Moreno, Jaime A. 28 Polyakov, Andrey 27 Pisano, Alessandro 23 Levant, Arie 23 Usai, Elio 21 Ferrara, Antonella 20 Perruquetti, Wilfrid 18 Poznyak, Aleksandr Semënovich 17 Oliveira, Tiago Roux 16 Basin, Michael V. 16 Edwards, Christopher 15 Ding, Shihong 14 Bandyopadhyay, Bijnan 14 Bartolini, Giorgio 14 Plestan, Franck 14 Ríos, Héctor 13 Boiko, Igor M. 12 Barbot, Jean-Pierre 12 Dávila, Jorge 12 Floquet, Thierry 12 Tian, Bailing 12 Yu, Xinghuo 11 Hsu, Liu 11 Li, Shihua 10 Laghrouche, Salah 10 Reichhartinger, Markus 10 Zong, Qun 9 Aguilar, Luis T. 9 Bejarano, Francisco Javier 9 Rodriguez-Ramirez, Pablo 9 Zhu, Fanglai 8 Bettayeb, Maamar 8 Estrada, Antonio 7 Horn, Martin Erik 7 Loukianov, Alexander G. 7 Orlov, Yury V. 7 Peixoto, Alessandro Jacoud 7 Punta, Elisabetta 7 Sanchez, Tonametl 7 Seeber, Richard 7 Shi, Shang 7 Spurgeon, Sarah K. 7 Zolghadri, Ali 6 Angulo, Marco Tulio 6 Azhmyakov, Vadim 6 Castillo-Toledo, Bernardino 6 Defoort, Michael 6 Djemai, Mohamed 6 Djennoune, Said 6 Guo, Bao-Zhu 6 Incremona, Gian Paolo 6 Iriarte, Rafael 6 Kamal, Shyam 6 Raissi, Tarek 6 Tan, Chee Pin 6 Zhao, Lin 6 Zheng, Gang 6 Zhirabok, Alexey N. 5 Bernal, Miguel Angel 5 Bhatti, Aamer Iqbal 5 Castaños, Fernando 5 Chairez, Isaac 5 Chu, Yuming 5 Cucuzzella, Michele 5 Fan, Wenru 5 Fang, Xing 5 Glumineau, Alain 5 Li, Peng 5 Livne, Miki 5 Mahanta, Chitralekha 5 Martinez-Guerra, Rafael 5 Mondal, Sanjoy 5 Tapia, Alán 5 Ushirobira, Rosane 5 Wang, Jinzhi 5 Yang, Jun 5 Yu, Jinpeng 4 Aleksandrov, Aleksandr Yur’evich 4 Alvarez-Gallegos, Joaquín 4 Behera, Abhisek K. 4 Binazadeh, Tahereh 4 Chalanga, Asif 4 De Jesús Rubio, José 4 Du, Haibo 4 Ferreira de Loza, Alejandra 4 Furuta, Katsuhisa 4 Galicki, Mirosław 4 Galvan-Guerra, Rosalba 4 Gómez-Gutiérrez, David 4 Harmouche, Mohamed 4 Hernández, Debbie 4 Jiang, Bin 4 Liu, Fei 4 Liu, Jianxing 4 Ma, Li 4 Nunes, Eduardo Vieira Leao 4 Rodrigues, Victor Hugo Pereira ...and 1,550 more Authors all top 5 Cited in 77 Serials 162 Automatica 159 Journal of the Franklin Institute 123 International Journal of Control 70 International Journal of Robust and Nonlinear Control 49 Mathematical Problems in Engineering 41 Asian Journal of Control 37 Nonlinear Dynamics 36 International Journal of Systems Science. Principles and Applications of Systems and Integration 31 European Journal of Control 19 Applied Mathematics and Computation 18 International Journal of Systems Science 18 Systems & Control Letters 16 Nonlinear Analysis. Hybrid Systems 15 Complexity 14 International Journal of Adaptive Control and Signal Processing 12 Journal of Control Science and Engineering 11 Automation and Remote Control 10 Communications in Nonlinear Science and Numerical Simulation 7 Chaos, Solitons and Fractals 7 Kybernetika 7 Mathematics and Computers in Simulation 7 SIAM Journal on Control and Optimization 6 Information Sciences 6 International Journal of Applied Mathematics and Computer Science 4 Circuits, Systems, and Signal Processing 4 Discrete Dynamics in Nature and Society 4 Journal of Systems Science and Complexity 3 Applied Mathematical Modelling 3 Differential Equations 3 Arabian Journal for Science and Engineering 2 Fuzzy Sets and Systems 2 Journal of Computational and Applied Mathematics 2 Moscow University Computational Mathematics and Cybernetics 2 Neural Networks 2 Numerical Algorithms 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Inverse Problems in Science and Engineering 2 Science China. Information Sciences 2 Journal of Nonlinear Dynamics 1 Computers & Mathematics with Applications 1 Journal of Applied Mathematics and Mechanics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Optimal Control Applications & Methods 1 Optimization 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Intelligent & Robotic Systems 1 Archives of Control Sciences 1 Journal of Computer and Systems Sciences International 1 Fractals 1 Advances in Applied Clifford Algebras 1 Doklady Mathematics 1 Journal of Vibration and Control 1 Abstract and Applied Analysis 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Thai Journal of Mathematics 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Journal of Control Theory and Applications 1 Proceedings of the Estonian Academy of Sciences 1 Algorithms 1 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 ISRN Applied Mathematics 1 Journal of Theoretical Biology 1 Mathematics and Mechanics of Complex Systems 1 Control Theory and Technology 1 International Journal of Applied and Computational Mathematics 1 AIMS Mathematics all top 5 Cited in 28 Fields 971 Systems theory; control (93-XX) 75 Mechanics of particles and systems (70-XX) 70 Ordinary differential equations (34-XX) 30 Information and communication theory, circuits (94-XX) 23 Computer science (68-XX) 23 Biology and other natural sciences (92-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Numerical analysis (65-XX) 16 Operations research, mathematical programming (90-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Real functions (26-XX) 10 Probability theory and stochastic processes (60-XX) 6 Combinatorics (05-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) Citations by Year