Edit Profile (opens in new tab) Oustaloup, Alain Co-Author Distance Author ID: oustaloup.alain Published as: Oustaloup, Alain; Oustaloup, A. Documents Indexed: 66 Publications since 1990, including 6 Books 1 Contribution as Editor Co-Authors: 58 Co-Authors with 60 Joint Publications 306 Co-Co-Authors all top 5 Co-Authors 7 single-authored 21 Sabatier, Jocelyn 17 Lanusse, Patrick 15 Melchior, Pierre 10 Moreau, Xavier 9 Malti, Rachid 7 Levron, François 6 Aoun, Mohamed 4 Moze, Mathieu 4 Poty, Alexandre 4 Trigeassou, Jean-Claude 4 Victor, Stéphane 3 Altet, O. 3 Cois, Olivier 3 Derbel, Nabil 3 Maamri, Nezha 3 Mathieu, Benoît 2 Abdelkrim, Mohamed Naceur 2 Cabelguen, Jean-Marie 2 Chetoui, Manel 2 Garcia Iturricha, Aitor 2 Ijspeert, Auke Jan 2 Merveillaut, Mathieu 2 Orsoni, B. 2 Ramus-Serment, C. 2 Sommacal, Laurent 2 Thomassin, Magalie 2 Yousfi, Najah 1 Badie, Th. 1 Battaglia, Jean-Luc 1 Ceyral, Ch. 1 Cugnet, Mikaël 1 Farges, Christophe 1 Garnier, Hugues 1 Grégoire, Gilles 1 Gruau, Cyril 1 Gruel, D. Nelson 1 Habsieger, Laurent 1 Jallouli-Khlif, Rim 1 Khemane, Firas 1 Latteux, Patrick 1 Lavialle, Olivier 1 Le Lay, Ludovic 1 Lévine, Jean 1 Najar, Slaheddine 1 Nelson-Gruel, Dominique 1 Nguyen, Huy Cuong 1 Nouillant, M. 1 Poinot, Thierry 1 Pommier-Budinger, Valerie 1 Pommier, V. 1 Poullain, Serge 1 Puigsegur, L. 1 Ragot, Franck 1 Rekik, Chokri 1 Roy, Patrick 1 Serrier, Pascal 1 Thomas, Jean Luc 1 Trumel, Hervé all top 5 Serials 11 Nonlinear Dynamics 5 Automatica 4 Computers & Mathematics with Applications 4 Signal Processing 3 Fractional Calculus & Applied Analysis 2 European Journal of Control 2 Journal of Vibration and Control 1 International Journal of Heat and Mass Transfer 1 Chaos, Solitons and Fractals 1 IEEE Transactions on Automatic Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Intelligent Systems, Control and Automation: Science and Engineering 1 Journal of Applied Nonlinear Dynamics all top 5 Fields 58 Systems theory; control (93-XX) 25 Real functions (26-XX) 14 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 6 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 1,192 times in 742 Documents Cited by ▼ Year ▼ A Lyapunov approach to the stability of fractional differential equations. Zbl 1203.94059 Trigeassou, J. C.; Maamri, N.; Sabatier, J.; Oustaloup, A. 137 2011 Non-integral derivation. Theory, synthesis, applications. (La dérivation non entière. Théorie, synthèse, applications.) Zbl 0864.93004 Oustaloup, Alain 107 1995 CRONE control. Robust control of non-integral order. (La commande CRONE. Commande robuste d’ordre non entier.) Zbl 0864.93003 Oustaloup, Alain 105 1991 How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019 Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain 73 2010 Fractional differentiation for edge detection. Zbl 1145.94309 Mathieu, B.; Melchior, P.; Oustaloup, A.; Ceyral, Ch. 72 2003 State variables and transients of fractional order differential systems. Zbl 1268.93040 Trigeassou, Jean-Claude; Maamri, N.; Sabatier, Jocelyn; Oustaloup, Alain 62 2012 Fractional system identification for lead acid battery state of charge estimation. Zbl 1172.93399 Sabatier, Jocelyn; Aoun, Mohamed; Oustaloup, Alain; Grégoire, Gilles; Ragot, Franck; Roy, Patrick 46 2006 The CRONE control of resonant plants: application to a flexible transmission. Zbl 1423.93106 Oustaloup, A.; Mathieu, B.; Lanusse, P. 44 1995 Parameter and differentiation order estimation in fractional models. Zbl 1284.93228 Victor, Stéphane; Malti, Rachid; Garnier, Hugues; Oustaloup, Alain 42 2013 Numerical simulations of fractional systems: An overview of existing methods and improvements. Zbl 1134.65300 Aoun, Mohamed; Malti, Rachid; Levron, François; Oustaloup, Alain 39 2004 From fractal robustness to the CRONE control. Zbl 1111.93310 Oustaloup, Alain; Sabatier, Jocelyn; Lanusse, Patrick 37 1999 Solving an inverse heat conduction problem using a non-integer identified model. Zbl 0981.80007 Battaglia, J.-L.; Cois, O.; Puigsegur, L.; Oustaloup, A. 33 2001 Synthesis of fractional Laguerre basis for system approximation. Zbl 1128.93019 Aoun, M.; Malti, R.; Levron, F.; Oustaloup, A. 28 2007 LMI characterization of fractional systems stability. Zbl 1125.93051 Moze, Mathieu; Sabatier, Jocelyn; Oustaloup, Alain 23 2007 Robust speed control of a low damped electromechanical system based on CRONE control: application to a four mass experimental test bench. Zbl 1142.93389 Sabatier, Jocelyn; Poullain, Serge; Latteux, Patrick; Thomas, Jean Luc; Oustaloup, Alain 22 2004 Stability and resonance conditions of elementary fractional transfer functions. Zbl 1228.93111 Malti, Rachid; Moreau, Xavier; Khemane, Firas; Oustaloup, Alain 22 2011 CRONE control: Principles and extension to time-variant plants with asymptotically constant coefficients. Zbl 1021.93014 Sabatier, Jocelyn; Oustaloup, Alain; Garcia Iturricha, Aitor; Lanusse, Patrick 21 2002 Fractional multi-models of the frog gastrocnemius muscle. Zbl 1229.92019 Sommacal, L.; Melchior, P.; Oustaloup, A.; Cabelguen, J.-M.; Ijspeert, A. J. 21 2008 Crone control from scalar to multivariable. (La commande Crone du scalaire au multivariable.) Zbl 0936.93004 Oustaloup, Alain; Mathieu, Benoît 19 1999 Diversity and non-integer derivation applied to system dynamics. Zbl 1294.93001 Oustaloup, Alain 19 2014 Fractional order differentiation and robust control design: CRONE, H-infinity and motion control. Zbl 1320.93005 Sabatier, Jocelyn; Lanusse, Patrick; Melchior, Pierre; Oustaloup, Alain 15 2015 Design of a fractional control using performance contours. Application to an electromechanical system. Zbl 1036.93023 Oustaloup, A.; Pommier, V.; Lanusse, P. 13 2003 The infinite state approach: origin and necessity. Zbl 1348.34026 Trigeassou, J. C.; Maamri, N.; Oustaloup, A. 13 2013 Analytical computation of the \({\mathcal H}_2\)-norm of fractional commensurate transfer functions. Zbl 1228.93064 Malti, Rachid; Aoun, Mohamed; Levron, François; Oustaloup, Alain 13 2011 Fractional differentiation in passive vibration control. Zbl 1019.74028 Moreau, X.; Ramus-Serment, C.; Oustaloup, A. 12 2002 Fractional order PID and first generation CRONE control system design. Zbl 1334.93085 Lanusse, P.; Sabatier, J.; Oustaloup, A. 12 2015 Robust path tracking using flatness for fractional linear MIMO systems: a thermal application. Zbl 1189.93049 Victor, Stéphane; Melchior, Pierre; Oustaloup, Alain 11 2010 Flatness control of a fractional thermal system. Zbl 1126.93335 Melchior, Pierre; Cugnet, Mikaël; Sabatier, Jocelyn; Poty, Alexandre; Oustaloup, Alain 9 2007 Flatness for linear fractional systems with application to a thermal system. Zbl 1330.93124 Victor, Stéphane; Melchior, Pierre; Lévine, Jean; Oustaloup, Alain 9 2015 Consideration of obstacle danger level in path planning using A\(^*\) and fast-marching optimisation: Comparative study. Zbl 1145.70307 Melchior, P.; Orsoni, B.; Lavialle, O.; Poty, A.; Oustaloup, A. 8 2003 Decentralized CRONE control of \(m\times n\) multivariable system with time-delay. Zbl 1222.93015 Nelson-Gruel, Dominique; Lanusse, Patrick; Oustaloup, Alain 8 2010 From fractal robustness to the CRONE approach. Zbl 0918.93029 Oustaloup, A.; Sabatier, J.; Moreau, X. 7 1998 Decentralized CRONE control of nonsquare multivariable systems in path-tracking design. Zbl 1319.93037 Yousfi, Najah; Melchior, Pierre; Lanusse, Patrick; Derbel, Nabil; Oustaloup, Alain 7 2014 Frequency-domain synthesis of a filter using viète root functions. Zbl 1364.93266 Oustaloup, Alain; Lanusse, Patrick; Levron, François 7 2002 Fractional motion control: Application to an XY cutting table. Zbl 1004.93507 Orsoni, B.; Melchior, P.; Oustaloup, A.; Badie, Th.; Robin, G. 6 2002 New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models. Zbl 1345.37087 Chetoui, Manel; Thomassin, Magalie; Malti, Rachid; Aoun, Mohamed; Najar, Slaheddine; Abdelkrim, Mohamed Naceur; Oustaloup, Alain 6 2013 Stability of closed loop fractional order systems and definition of damping contours for the design of controllers. Zbl 1258.93058 Lanusse, Patrick; Oustaloup, Alain; Pommier-Budinger, Valerie 5 2012 Complex non integer derivation in robust control through the CRONE control. Zbl 0789.93104 Oustaloup, A. 4 1991 Motion control by ZV shaper synthesis extended for fractional systems and its application to CRONE control. Zbl 1142.93387 Melchior, P.; Poty, A.; Oustaloup, A. 4 2004 The CRONE suspension: management of the dilemma comfort-road holding. Zbl 1142.74347 Moreau, X.; Altet, O.; Oustaloup, A. 4 2004 Frequency band-limited fractional differentiator prefilter in path tracking design. Zbl 1126.93397 Melchior, Pierre; Poty, Alexandre; Oustaloup, Alain 4 2007 Fractional order models. Zbl 1372.34020 Sabatier, J.; Farges, C.; Oustaloup, A. 4 2015 Path tracking design by fractional prefilter using a combined QFT/\(H_\infty\) design for TDOF uncertain feedback systems. Zbl 1452.93009 Yousfi, Najah; Melchior, Pierre; Rekik, Chokri; Derbel, Nabil; Oustaloup, Alain 4 2012 Fractional multimodels of the gastrocnemius muscle for tetanus pattern. Zbl 1125.92021 Sommacal, Laurent; Melchior, Pierre; Cabelguen, Jean-Marie; Oustaloup, Alain; Ijspeert, Auke 3 2007 Robust design of an anti-windup compensated 3rd-generation CRONE controller. Zbl 1125.93418 Lanusse, Patrick; Oustaloup, Alain; Sabatier, Jocelyn 3 2007 Mechanical version of the CRONE suspension. Zbl 1219.93073 Oustaloup, Alain; Moreau, Xavier 3 2011 Fractional behaviour of partial differential equations whose coefficients are exponential functions of the space variable. Zbl 1310.34010 Sabatier, J.; Nguyen, H. C.; Moreau, X.; Oustaloup, A. 3 2013 Restricted-complexity controller with crone control-system design and closed-loop tuning. Zbl 1293.93336 Lanusse, P.; Poinot, T.; Cois, O.; Oustaloup, A.; Trigeassou, J. C. 3 2004 Time-varying \(z\)-transform for the analysis of discrete-time linear time periodic systems. Zbl 1118.93354 Garcia Iturricha, A.; Sabatier, J.; Oustaloup, A. 2 2003 From partial differential equations of propagative recursive systems to non-integer differentiation. Zbl 1033.35158 Levron, François; Sabatier, Jocelyn; Oustaloup, Alain; Habsieger, Laurent 2 1999 Representation and identification by non-integer models. (Représentation et identification par modèle non entier.) Zbl 1076.93003 Oustaloup, Alain; Cois, Olivier; Le Lay, Ludovic 2 2005 Robustness comparison of Smith predictor-based control and fractional-order control. Zbl 1126.93023 Lanusse, Patrick; Oustaloup, Alain 2 2007 Recursive distributions of poles and zeros for linear phase variations. Zbl 1229.93083 Sabatier, Jocelyn; Moze, Mathieu; Lanusse, Patrick; Oustaloup, Alain 2 2008 Second and third generation CRONE control-system design. Zbl 1334.93056 Lanusse, P.; Sabatier, J.; Gruel, D. Nelson; Oustaloup, A. 2 2015 Robust motion planning for a heat rod process. Zbl 1349.93125 Victor, Stéphane; Melchior, Pierre; Malti, Rachid; Oustaloup, Alain 2 2016 Analytical impulse response of third generation CRONE control. Zbl 1222.93070 Jallouli-Khlif, Rim; Melchior, Pierre; Levron, F.; Derbel, Nabil; Oustaloup, Alain 2 2010 Principles and synthesis of hydractive CRONE suspension. Zbl 1142.93386 Altet, O.; Moreau, X.; Moze, M.; Lanusse, P.; Oustaloup, A. 1 2004 Limited-bandwidth fractional differentiator: synthesis and application in vibration isolation. Zbl 1143.70014 Serrier, Pascal; Moreau, Xavier; Oustaloup, Alain 1 2007 CRONE control: Principle, synthesis, performances with nonlinearities and robustness-input immunity dilemma. Zbl 0707.93025 Oustaloup, A. 1 1990 New trends in CRONE control: Generalized template and complex non integer derivation. Zbl 0818.93043 Oustaloup, A.; Lanusse, P. 1 1992 Robust motion planning for a heat rod process. Zbl 1349.93125 Victor, Stéphane; Melchior, Pierre; Malti, Rachid; Oustaloup, Alain 2 2016 Fractional order differentiation and robust control design: CRONE, H-infinity and motion control. Zbl 1320.93005 Sabatier, Jocelyn; Lanusse, Patrick; Melchior, Pierre; Oustaloup, Alain 15 2015 Fractional order PID and first generation CRONE control system design. Zbl 1334.93085 Lanusse, P.; Sabatier, J.; Oustaloup, A. 12 2015 Flatness for linear fractional systems with application to a thermal system. Zbl 1330.93124 Victor, Stéphane; Melchior, Pierre; Lévine, Jean; Oustaloup, Alain 9 2015 Fractional order models. Zbl 1372.34020 Sabatier, J.; Farges, C.; Oustaloup, A. 4 2015 Second and third generation CRONE control-system design. Zbl 1334.93056 Lanusse, P.; Sabatier, J.; Gruel, D. Nelson; Oustaloup, A. 2 2015 Diversity and non-integer derivation applied to system dynamics. Zbl 1294.93001 Oustaloup, Alain 19 2014 Decentralized CRONE control of nonsquare multivariable systems in path-tracking design. Zbl 1319.93037 Yousfi, Najah; Melchior, Pierre; Lanusse, Patrick; Derbel, Nabil; Oustaloup, Alain 7 2014 Parameter and differentiation order estimation in fractional models. Zbl 1284.93228 Victor, Stéphane; Malti, Rachid; Garnier, Hugues; Oustaloup, Alain 42 2013 The infinite state approach: origin and necessity. Zbl 1348.34026 Trigeassou, J. C.; Maamri, N.; Oustaloup, A. 13 2013 New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models. Zbl 1345.37087 Chetoui, Manel; Thomassin, Magalie; Malti, Rachid; Aoun, Mohamed; Najar, Slaheddine; Abdelkrim, Mohamed Naceur; Oustaloup, Alain 6 2013 Fractional behaviour of partial differential equations whose coefficients are exponential functions of the space variable. Zbl 1310.34010 Sabatier, J.; Nguyen, H. C.; Moreau, X.; Oustaloup, A. 3 2013 State variables and transients of fractional order differential systems. Zbl 1268.93040 Trigeassou, Jean-Claude; Maamri, N.; Sabatier, Jocelyn; Oustaloup, Alain 62 2012 Stability of closed loop fractional order systems and definition of damping contours for the design of controllers. Zbl 1258.93058 Lanusse, Patrick; Oustaloup, Alain; Pommier-Budinger, Valerie 5 2012 Path tracking design by fractional prefilter using a combined QFT/\(H_\infty\) design for TDOF uncertain feedback systems. Zbl 1452.93009 Yousfi, Najah; Melchior, Pierre; Rekik, Chokri; Derbel, Nabil; Oustaloup, Alain 4 2012 A Lyapunov approach to the stability of fractional differential equations. Zbl 1203.94059 Trigeassou, J. C.; Maamri, N.; Sabatier, J.; Oustaloup, A. 137 2011 Stability and resonance conditions of elementary fractional transfer functions. Zbl 1228.93111 Malti, Rachid; Moreau, Xavier; Khemane, Firas; Oustaloup, Alain 22 2011 Analytical computation of the \({\mathcal H}_2\)-norm of fractional commensurate transfer functions. Zbl 1228.93064 Malti, Rachid; Aoun, Mohamed; Levron, François; Oustaloup, Alain 13 2011 Mechanical version of the CRONE suspension. Zbl 1219.93073 Oustaloup, Alain; Moreau, Xavier 3 2011 How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019 Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain 73 2010 Robust path tracking using flatness for fractional linear MIMO systems: a thermal application. Zbl 1189.93049 Victor, Stéphane; Melchior, Pierre; Oustaloup, Alain 11 2010 Decentralized CRONE control of \(m\times n\) multivariable system with time-delay. Zbl 1222.93015 Nelson-Gruel, Dominique; Lanusse, Patrick; Oustaloup, Alain 8 2010 Analytical impulse response of third generation CRONE control. Zbl 1222.93070 Jallouli-Khlif, Rim; Melchior, Pierre; Levron, F.; Derbel, Nabil; Oustaloup, Alain 2 2010 Fractional multi-models of the frog gastrocnemius muscle. Zbl 1229.92019 Sommacal, L.; Melchior, P.; Oustaloup, A.; Cabelguen, J.-M.; Ijspeert, A. J. 21 2008 Recursive distributions of poles and zeros for linear phase variations. Zbl 1229.93083 Sabatier, Jocelyn; Moze, Mathieu; Lanusse, Patrick; Oustaloup, Alain 2 2008 Synthesis of fractional Laguerre basis for system approximation. Zbl 1128.93019 Aoun, M.; Malti, R.; Levron, F.; Oustaloup, A. 28 2007 LMI characterization of fractional systems stability. Zbl 1125.93051 Moze, Mathieu; Sabatier, Jocelyn; Oustaloup, Alain 23 2007 Flatness control of a fractional thermal system. Zbl 1126.93335 Melchior, Pierre; Cugnet, Mikaël; Sabatier, Jocelyn; Poty, Alexandre; Oustaloup, Alain 9 2007 Frequency band-limited fractional differentiator prefilter in path tracking design. Zbl 1126.93397 Melchior, Pierre; Poty, Alexandre; Oustaloup, Alain 4 2007 Fractional multimodels of the gastrocnemius muscle for tetanus pattern. Zbl 1125.92021 Sommacal, Laurent; Melchior, Pierre; Cabelguen, Jean-Marie; Oustaloup, Alain; Ijspeert, Auke 3 2007 Robust design of an anti-windup compensated 3rd-generation CRONE controller. Zbl 1125.93418 Lanusse, Patrick; Oustaloup, Alain; Sabatier, Jocelyn 3 2007 Robustness comparison of Smith predictor-based control and fractional-order control. Zbl 1126.93023 Lanusse, Patrick; Oustaloup, Alain 2 2007 Limited-bandwidth fractional differentiator: synthesis and application in vibration isolation. Zbl 1143.70014 Serrier, Pascal; Moreau, Xavier; Oustaloup, Alain 1 2007 Fractional system identification for lead acid battery state of charge estimation. Zbl 1172.93399 Sabatier, Jocelyn; Aoun, Mohamed; Oustaloup, Alain; Grégoire, Gilles; Ragot, Franck; Roy, Patrick 46 2006 Representation and identification by non-integer models. (Représentation et identification par modèle non entier.) Zbl 1076.93003 Oustaloup, Alain; Cois, Olivier; Le Lay, Ludovic 2 2005 Numerical simulations of fractional systems: An overview of existing methods and improvements. Zbl 1134.65300 Aoun, Mohamed; Malti, Rachid; Levron, François; Oustaloup, Alain 39 2004 Robust speed control of a low damped electromechanical system based on CRONE control: application to a four mass experimental test bench. Zbl 1142.93389 Sabatier, Jocelyn; Poullain, Serge; Latteux, Patrick; Thomas, Jean Luc; Oustaloup, Alain 22 2004 Motion control by ZV shaper synthesis extended for fractional systems and its application to CRONE control. Zbl 1142.93387 Melchior, P.; Poty, A.; Oustaloup, A. 4 2004 The CRONE suspension: management of the dilemma comfort-road holding. Zbl 1142.74347 Moreau, X.; Altet, O.; Oustaloup, A. 4 2004 Restricted-complexity controller with crone control-system design and closed-loop tuning. Zbl 1293.93336 Lanusse, P.; Poinot, T.; Cois, O.; Oustaloup, A.; Trigeassou, J. C. 3 2004 Principles and synthesis of hydractive CRONE suspension. Zbl 1142.93386 Altet, O.; Moreau, X.; Moze, M.; Lanusse, P.; Oustaloup, A. 1 2004 Fractional differentiation for edge detection. Zbl 1145.94309 Mathieu, B.; Melchior, P.; Oustaloup, A.; Ceyral, Ch. 72 2003 Design of a fractional control using performance contours. Application to an electromechanical system. Zbl 1036.93023 Oustaloup, A.; Pommier, V.; Lanusse, P. 13 2003 Consideration of obstacle danger level in path planning using A\(^*\) and fast-marching optimisation: Comparative study. Zbl 1145.70307 Melchior, P.; Orsoni, B.; Lavialle, O.; Poty, A.; Oustaloup, A. 8 2003 Time-varying \(z\)-transform for the analysis of discrete-time linear time periodic systems. Zbl 1118.93354 Garcia Iturricha, A.; Sabatier, J.; Oustaloup, A. 2 2003 CRONE control: Principles and extension to time-variant plants with asymptotically constant coefficients. Zbl 1021.93014 Sabatier, Jocelyn; Oustaloup, Alain; Garcia Iturricha, Aitor; Lanusse, Patrick 21 2002 Fractional differentiation in passive vibration control. Zbl 1019.74028 Moreau, X.; Ramus-Serment, C.; Oustaloup, A. 12 2002 Frequency-domain synthesis of a filter using viète root functions. Zbl 1364.93266 Oustaloup, Alain; Lanusse, Patrick; Levron, François 7 2002 Fractional motion control: Application to an XY cutting table. Zbl 1004.93507 Orsoni, B.; Melchior, P.; Oustaloup, A.; Badie, Th.; Robin, G. 6 2002 Solving an inverse heat conduction problem using a non-integer identified model. Zbl 0981.80007 Battaglia, J.-L.; Cois, O.; Puigsegur, L.; Oustaloup, A. 33 2001 From fractal robustness to the CRONE control. Zbl 1111.93310 Oustaloup, Alain; Sabatier, Jocelyn; Lanusse, Patrick 37 1999 Crone control from scalar to multivariable. (La commande Crone du scalaire au multivariable.) Zbl 0936.93004 Oustaloup, Alain; Mathieu, Benoît 19 1999 From partial differential equations of propagative recursive systems to non-integer differentiation. Zbl 1033.35158 Levron, François; Sabatier, Jocelyn; Oustaloup, Alain; Habsieger, Laurent 2 1999 From fractal robustness to the CRONE approach. Zbl 0918.93029 Oustaloup, A.; Sabatier, J.; Moreau, X. 7 1998 Non-integral derivation. Theory, synthesis, applications. (La dérivation non entière. Théorie, synthèse, applications.) Zbl 0864.93004 Oustaloup, Alain 107 1995 The CRONE control of resonant plants: application to a flexible transmission. Zbl 1423.93106 Oustaloup, A.; Mathieu, B.; Lanusse, P. 44 1995 New trends in CRONE control: Generalized template and complex non integer derivation. Zbl 0818.93043 Oustaloup, A.; Lanusse, P. 1 1992 CRONE control. Robust control of non-integral order. (La commande CRONE. Commande robuste d’ordre non entier.) Zbl 0864.93003 Oustaloup, Alain 105 1991 Complex non integer derivation in robust control through the CRONE control. Zbl 0789.93104 Oustaloup, A. 4 1991 CRONE control: Principle, synthesis, performances with nonlinearities and robustness-input immunity dilemma. Zbl 0707.93025 Oustaloup, A. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 1,279 Authors 37 Machado, José António Tenreiro 29 Sabatier, Jocelyn 25 Oustaloup, Alain 22 Chen, Yangquan 19 Tavazoei, Mohammad Saleh 17 Haeri, Mohammad 17 Wei, Yiheng 16 Farges, Christophe 16 Malti, Rachid 16 Wang, Yong 14 Lanusse, Patrick 12 Bettayeb, Maamar 12 Shah, Kamal 11 Aoun, Mohamed 11 Băleanu, Dumitru I. 11 Melchior, Pierre 10 Djennoune, Said 10 Victor, Stéphane 9 Charef, Abdelfatah 8 Aguila-Camacho, Norelys 8 Chen, Yuquan 8 Duarte-Mermoud, Manuel Armando 8 Gallegos, Javier A. 8 Moreau, Xavier 7 Boutat, Driss 7 Liu, Dayan 7 Torres, Delfim Fernando Marado 6 Agarwal, Ravi P. 6 Ben Makhlouf, Abdellatif 6 Hammami, Mohamed Ali 6 Jumarie, Guy M. 6 Liu, Lu 6 Lu, Junguo 6 Maione, Guido 6 Moze, Mathieu 6 Naifar, Omar 6 Ostalczyk, Piotr 6 Petras, Ivo 6 Podlubny, Igor 6 Trigeassou, Jean-Claude 6 Zhang, Shuo 5 Barbosa, Ramiro S. 5 Chen, Wen 5 Chetoui, Manel 5 Jesus, Isabel S. 5 Liang, Shu 5 Momani, Shaher M. 5 Padula, Fabrizio 5 Vinagre, Blas Manuel 5 Wei, Yanqiao 4 Amairi, Messaoud 4 Arqub, Omar Abu 4 Chen, Guanrong 4 Cheng, Songsong 4 Derbel, Nabil 4 El-Ajou, Ahmad 4 Guillemard, Franck 4 Khan, Aziz Ullah 4 Khristova, Snezhana G. 4 Lan, Yonghong 4 Levron, François 4 Li, Yongjin 4 Lopes, António M. 4 Maamri, Nezha 4 Mansouri, Rachid 4 O’Regan, Donal 4 Ouannas, Adel 4 Pisano, Alessandro 4 Pu, Yifei 4 Sierociuk, Dominik 4 Visioli, Antonio 4 Xu, Chuanju 4 Zhang, Ni 4 Zhou, Jiliu 3 Abdelkrim, Mohamed Naceur 3 Almeida, Ricardo 3 Arabzadeh Jafari, Adeleh 3 Asheghan, Mohammad Mostafa 3 Azar, Ahmad Taher 3 Balochian, Saeed 3 Baranowski, Jerzy 3 Boukal, Yassine 3 Chan, Cheng-Han 3 Chen, Weidong 3 D’Abbicco, Marcello 3 Darouach, Mohamed 3 Das, Amiya 3 Delavari, Hadi 3 Djamah, Tounsia 3 Djouambi, Abdelbaki 3 Gao, Zhe 3 Ghaderi, Reza 3 Guidotti, Patrick Q. 3 Hafsi, Sami 3 Hasanpour Naseriyeh, Mohsen 3 Henderson, Johnny Lee 3 Hinze, Matthias 3 Hussain, Wajid 3 Ibrahim, Rabha Waell 3 Inc, Mustafa ...and 1,179 more Authors all top 5 Cited in 140 Serials 66 Nonlinear Dynamics 49 Communications in Nonlinear Science and Numerical Simulation 46 Fractional Calculus & Applied Analysis 31 Automatica 26 Computers & Mathematics with Applications 25 Journal of the Franklin Institute 25 Mathematical Problems in Engineering 25 Advances in Difference Equations 18 Applied Mathematics and Computation 17 Signal Processing 15 Chaos, Solitons and Fractals 15 International Journal of Systems Science. Principles and Applications of Systems and Integration 13 Asian Journal of Control 12 European Journal of Control 10 Journal of Vibration and Control 10 Abstract and Applied Analysis 9 Journal of Computational Physics 9 Circuits, Systems, and Signal Processing 9 Applied Mathematical Modelling 9 International Journal of Applied Mathematics and Computer Science 8 International Journal of Control 8 Systems & Control Letters 8 International Journal of Robust and Nonlinear Control 7 Journal of Computational and Applied Mathematics 7 Complexity 6 Inverse Problems in Science and Engineering 5 Physics Letters. A 5 Mathematics and Computers in Simulation 5 Applied Numerical Mathematics 5 Fractals 5 Discrete Dynamics in Nature and Society 5 Journal of Applied Mathematics 4 Mathematical Methods in the Applied Sciences 4 Physica A 4 Journal of Optimization Theory and Applications 4 Optimal Control Applications & Methods 4 Applied Mathematics Letters 4 Archives of Control Sciences 4 Computational and Applied Mathematics 4 Chaos 4 Nonlinear Analysis. Hybrid Systems 4 International Journal of Differential Equations 4 Mathematical Sciences 3 Information Sciences 3 Mathematical and Computer Modelling 3 Multidimensional Systems and Signal Processing 3 Numerical Algorithms 3 Automation and Remote Control 3 International Journal of Computer Mathematics 3 Journal of Mathematical Imaging and Vision 3 Boundary Value Problems 3 Journal of Nonlinear Science and Applications 3 Algorithms 3 Advances in Mathematical Physics 3 Journal of Applied Nonlinear Dynamics 3 Mathematics 2 Journal of Mathematical Analysis and Applications 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Journal of Scientific Computing 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Turkish Journal of Mathematics 2 Georgian Mathematical Journal 2 Acta Mathematica Sinica. English Series 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Entropy 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Acta Mechanica Sinica 2 Discontinuity, Nonlinearity, and Complexity 2 Journal of Function Spaces 2 AIMS Mathematics 1 International Journal of Modern Physics B 1 Artificial Intelligence 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Calcolo 1 Computing 1 The Journal of the Indian Mathematical Society. New Series 1 Kybernetika 1 Mathematica Slovaca 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Journal of Automated Reasoning 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Neural Networks 1 Journal of Intelligent & Robotic Systems 1 International Journal of Adaptive Control and Signal Processing 1 Advances in Engineering Software 1 Cybernetics and Systems Analysis 1 The Journal of Analysis 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications ...and 40 more Serials all top 5 Cited in 42 Fields 397 Systems theory; control (93-XX) 337 Ordinary differential equations (34-XX) 255 Real functions (26-XX) 88 Partial differential equations (35-XX) 84 Numerical analysis (65-XX) 69 Information and communication theory, circuits (94-XX) 43 Dynamical systems and ergodic theory (37-XX) 33 Biology and other natural sciences (92-XX) 22 Computer science (68-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Integral equations (45-XX) 20 Operations research, mathematical programming (90-XX) 19 Operator theory (47-XX) 19 Mechanics of particles and systems (70-XX) 18 Difference and functional equations (39-XX) 13 Special functions (33-XX) 13 Probability theory and stochastic processes (60-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 5 Fluid mechanics (76-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year