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## Gahinet, Pascal M.

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 Author ID: gahinet.pascal-m Published as: Gahinet, Pascal; Gahinet, P.; Gahinet, Pascal M.
 Documents Indexed: 20 Publications since 1990
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#### Co-Authors

 3 single-authored 7 Apkarian, Pierre 5 Laub, Alan J. 4 Chilali, Mahmoud 1 Becker, Greg 1 Feron, Eric 1 Gumussoy, Suat 1 Hewer, Gary A. 1 Kenney, Charles S. 1 Nemirovski, Arkadi S. 1 Scherer, Carsten W. 1 Shampine, Lawrence Fred
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#### Serials

 9 IEEE Transactions on Automatic Control 4 SIAM Journal on Control and Optimization 2 Automatica 1 International Journal of Control 1 Applied Numerical Mathematics 1 Mathematical Programming. Series A. Series B 1 International Journal of Robust and Nonlinear Control

#### Fields

 20 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 1,596 times in 1,201 Documents Cited by Year
A linear matrix inequality approach to $$H_ \infty$$ control. Zbl 0808.93024
Gahinet, Pascal; Apkarian, Pierre
1994
Multiobjective output-feedback control via LMI optimization. Zbl 0883.93024
Scherer, Carsten; Gahinet, Pascal; Chilali, Mahmoud
1997
$$H_ \infty$$ design with pole placement constraints: An LMI approach. Zbl 0857.93048
Chilali, Mahmoud; Gahinet, Pascal
1996
Affine parameter-dependent Lyapunov functions and real parametric uncertainty. Zbl 0854.93113
Gahinet, Pascal; Apkarian, Pierre; Chilali, Mahmoud
1996
Self-scheduled $${\mathcal H}_ \infty$$ control of linear parameter-varying systems: A design example. Zbl 0825.93169
Apkarian, Pierre; Gahinet, Pascal; Becker, Greg
1995
Robust pole placement in LMI regions. Zbl 1136.93352
Chilali, Mahmoud; Gahinet, Pascal; Apkarian, Pierre
1999
A convex characterization of gain-scheduled $${\mathcal H}_ \infty$$ controllers. Zbl 0826.93028
Apkarian, Pierre; Gahinet, Pascal
1995
Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions. Zbl 0857.93088
Feron, Eric; Apkarian, Pierre; Gahinet, Pascal
1996
Explicit controller formulas for LMI-based $$H_ \infty$$ synthesis. Zbl 0855.93025
Gahinet, Pascal
1996
On the game Riccati equations arising in $$H_ \infty$$ control problems. Zbl 0811.93018
Gahinet, Pascal
1994
Sensitivity of the stable discrete-time Lyapunov equation. Zbl 0721.93064
Gahinet, Pascal M.; Laub, Alan J.; Kenney, Charles S.; Hewer, Gary A.
1990
Computable bounds for the sensitivity of the algebraic Riccati equation. Zbl 0728.93022
Gahinet, P.; Laub, A. J.
1990
Delay-differential-algebraic equations in control theory. Zbl 1093.93015
Shampine, L. F.; Gahinet, P.
2006
Algebraic Riccati equations and the distance to the nearest uncontrollable pair. Zbl 0850.93113
Gahinet, P.; Laub, A. J.
1992
Erratum to “A convex characterization of gain-scheduled $${\mathcal H}_ \infty$$ controllers”. Zbl 0825.93174
Apkarian, Pierre; Gahinet, Pascal
1995
The projective method for solving linear matrix inequalities. Zbl 0890.90142
1997
Numerically reliable computation of optimal performance in singular $$H_ \infty$$ control. Zbl 0889.93022
Gahinet, Pascal; Laub, Alan J.
1997
Numerical improvements for solving Riccati equations. Zbl 0891.93032
Laub, Alan J.; Gahinet, Pascal
1997
Delay-differential-algebraic equations in control theory. Zbl 1093.93015
Shampine, L. F.; Gahinet, P.
2006
Robust pole placement in LMI regions. Zbl 1136.93352
Chilali, Mahmoud; Gahinet, Pascal; Apkarian, Pierre
1999
Multiobjective output-feedback control via LMI optimization. Zbl 0883.93024
Scherer, Carsten; Gahinet, Pascal; Chilali, Mahmoud
1997
The projective method for solving linear matrix inequalities. Zbl 0890.90142
1997
Numerically reliable computation of optimal performance in singular $$H_ \infty$$ control. Zbl 0889.93022
Gahinet, Pascal; Laub, Alan J.
1997
Numerical improvements for solving Riccati equations. Zbl 0891.93032
Laub, Alan J.; Gahinet, Pascal
1997
$$H_ \infty$$ design with pole placement constraints: An LMI approach. Zbl 0857.93048
Chilali, Mahmoud; Gahinet, Pascal
1996
Affine parameter-dependent Lyapunov functions and real parametric uncertainty. Zbl 0854.93113
Gahinet, Pascal; Apkarian, Pierre; Chilali, Mahmoud
1996
Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions. Zbl 0857.93088
Feron, Eric; Apkarian, Pierre; Gahinet, Pascal
1996
Explicit controller formulas for LMI-based $$H_ \infty$$ synthesis. Zbl 0855.93025
Gahinet, Pascal
1996
Self-scheduled $${\mathcal H}_ \infty$$ control of linear parameter-varying systems: A design example. Zbl 0825.93169
Apkarian, Pierre; Gahinet, Pascal; Becker, Greg
1995
A convex characterization of gain-scheduled $${\mathcal H}_ \infty$$ controllers. Zbl 0826.93028
Apkarian, Pierre; Gahinet, Pascal
1995
Erratum to “A convex characterization of gain-scheduled $${\mathcal H}_ \infty$$ controllers”. Zbl 0825.93174
Apkarian, Pierre; Gahinet, Pascal
1995
A linear matrix inequality approach to $$H_ \infty$$ control. Zbl 0808.93024
Gahinet, Pascal; Apkarian, Pierre
1994
On the game Riccati equations arising in $$H_ \infty$$ control problems. Zbl 0811.93018
Gahinet, Pascal
1994
Algebraic Riccati equations and the distance to the nearest uncontrollable pair. Zbl 0850.93113
Gahinet, P.; Laub, A. J.
1992
Sensitivity of the stable discrete-time Lyapunov equation. Zbl 0721.93064
Gahinet, Pascal M.; Laub, Alan J.; Kenney, Charles S.; Hewer, Gary A.
1990
Computable bounds for the sensitivity of the algebraic Riccati equation. Zbl 0728.93022
Gahinet, P.; Laub, A. J.
1990
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#### Cited by 1,759 Authors

 30 Lam, James 25 Kogan, Mark Mikhailovich 23 Balandin, Dmitriĭ Vladimirovich 22 Yang, Guanghong 21 Scherer, Carsten W. 19 Peres, Pedro L. D. 18 Xu, Shengyuan 17 Wu, Fen 15 Oliveira, Ricardo C. L. F. 14 de Oliveira, Maurício Carvalho 14 Puig, Vicenç 14 Shi, Peng 13 Park, Juhyun (Jessie) 12 Gao, Huijun 11 Bachelier, Olivier 11 Grigoriadis, Karolos M. 11 Shaked, Uri 10 Apkarian, Pierre 10 Gałkowski, Krzysztof 10 Tarbouriech, Sophie 10 Turner, Matthew C. 10 Wang, Zidong 9 Karimi, Hamid Reza 9 Mahmoud, Magdi Sadik Mostafa 9 Palhares, Reinaldo M. 9 Rotondo, Damiano 9 Wu, Ligang 9 Zhao, Jun 8 Daafouz, Jamal 8 Duan, Zhisheng 8 Ebihara, Yoshio 8 Edwards, Christopher 8 Jiang, Bin 8 Nejjari, Fatiha 8 Paszke, Wojciech 8 Peaucelle, Dimitri 8 Postlethwaite, Ian 8 Rogers, Eric 8 Xie, Lihua 8 Yuan, Chengzhi 7 Amato, Francesco 7 Arzelier, Denis 7 Chen, Tongwen 7 Dullerud, Geir E. 7 Geromel, Jose Claudio 7 Mehrmann, Volker 7 Nagamune, Ryozo 7 Nguang, Sing Kiong 7 Zaccarian, Luca 7 Zhang, Qingling 7 Zhao, Xiao-Qi 6 Briat, Corentin 6 Chestnov, V. N. 6 Hara, Shinji 6 Konstantinov, Mikhail Mikhajlov 6 Köroğlu, Hakan 6 Mao, Weijie 6 Petkov, Petko Hr. 6 Su, Hongye 6 Theilliol, Didier 6 Tognetti, Eduardo S. 6 Tuan, Hoang Duong 6 Veselý, Vojtech 6 Wang, Changhong 5 Cao, Yongyan 5 Casavola, Alessandro 5 Chadli, Mohammed 5 Chu, Jian 5 Dabkowski, Pawel 5 Duan, Guangren 5 Farhood, Mazen 5 Hagiwara, Tomomichi 5 Henrion, Didier 5 Huang, Lin 5 Iwasaki, Tetsuya 5 Leite, Valter J. S. 5 Mehdi, Driss 5 Sadeghzadeh, Arash 5 Scorletti, Gérard 5 Teel, Andrew Richard 5 Wu, Min 5 Xie, Wei 5 Yang, Ying 5 Zhai, Ding 5 Zhang, Weihai 4 Ahn, Choon Ki 4 Alwi, Halim 4 Argha, Ahmadreza 4 Ariola, Marco 4 Assunção, Edvaldo 4 Benhadj Braiek, Naceur 4 Bernussou, Jacques 4 Blesa, Joaquim 4 Bokor, József 4 Boukas, El-Kébir 4 Chang, Xiaoheng 4 Chen, Borsen 4 Choi, Han Ho 4 Cosentino, Carlo 4 Cuzzola, Francesco Alessandro ...and 1,659 more Authors
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#### Cited in 112 Serials

 197 Automatica 143 International Journal of Control 113 Systems & Control Letters 91 International Journal of Robust and Nonlinear Control 85 Journal of the Franklin Institute 47 European Journal of Control 40 Mathematical Problems in Engineering 37 Asian Journal of Control 36 International Journal of Systems Science 25 Applied Mathematics and Computation 25 Automation and Remote Control 24 International Journal of Systems Science. Principles and Applications of Systems and Integration 20 Linear Algebra and its Applications 16 Information Sciences 16 Optimal Control Applications & Methods 16 International Journal of Adaptive Control and Signal Processing 14 Circuits, Systems, and Signal Processing 12 Fuzzy Sets and Systems 12 Journal of Optimization Theory and Applications 11 Nonlinear Dynamics 11 International Journal of Applied Mathematics and Computer Science 11 Journal of Control Theory and Applications 10 Multidimensional Systems and Signal Processing 9 Abstract and Applied Analysis 9 Nonlinear Analysis. Hybrid Systems 8 Kybernetika 8 Journal of Vibration and Control 6 Journal of Control Science and Engineering 5 Computers & Mathematics with Applications 5 Mathematics and Computers in Simulation 5 SIAM Journal on Control and Optimization 5 Discrete Dynamics in Nature and Society 4 Chaos, Solitons and Fractals 4 Journal of Computational and Applied Mathematics 4 Signal Processing 4 Journal of Inequalities and Applications 4 Differential Equations 4 Advances in Difference Equations 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Computer and Systems Sciences International 3 Journal of Mathematical Sciences (New York) 2 Journal of Mathematical Analysis and Applications 2 Ukrainian Mathematical Journal 2 BIT 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Journal of Robotic Systems 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Computational Optimization and Applications 2 Doklady Mathematics 2 Fractional Calculus & Applied Analysis 2 Journal of Applied Mathematics 2 Journal of Industrial and Management Optimization 2 Journal of Zhejiang University. Science A 2 Control Theory and Technology 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Linear and Multilinear Algebra 1 Mathematical Biosciences 1 Acta Mathematica Vietnamica 1 Calcolo 1 Integral Equations and Operator Theory 1 Meccanica 1 Numerische Mathematik 1 Journal of Information & Optimization Sciences 1 Stochastic Analysis and Applications 1 Optimization 1 Asia-Pacific Journal of Operational Research 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Mathematics and Modeling 1 Neural Computation 1 Journal of Global Optimization 1 Numerical Algorithms 1 SIAM Review 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 Archives of Control Sciences 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 Complexity 1 Science in China. Series E 1 Multibody System Dynamics 1 Soft Computing 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Optimization and Engineering 1 International Game Theory Review 1 The ANZIAM Journal 1 Journal of Zhejiang University. Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Advances in Complex Systems 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 Acta Numerica ...and 12 more Serials
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#### Cited in 28 Fields

 1,147 Systems theory; control (93-XX) 144 Linear and multilinear algebra; matrix theory (15-XX) 114 Operations research, mathematical programming (90-XX) 72 Ordinary differential equations (34-XX) 39 Numerical analysis (65-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 27 Information and communication theory, circuits (94-XX) 26 Mechanics of particles and systems (70-XX) 21 Probability theory and stochastic processes (60-XX) 20 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Biology and other natural sciences (92-XX) 8 Mechanics of deformable solids (74-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 4 Real functions (26-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX)