Pierre Apkarian focuses on Linear matrix inequality, Mathematical optimization, Control theory, Robust control and Lyapunov function. His Linear matrix inequality research incorporates themes from Optimization problem and Optimal control. His Mathematical optimization research includes themes of Range, Line search, Robustness and Nonlinear system.
His Robustness research focuses on Gain scheduling and how it connects with H control and Missile autopilot. In the subject of general Control theory, his work in Linear parameter-varying control, Control theory and Linear system is often linked to Parametric statistics, thereby combining diverse domains of study. His work deals with themes such as Discrete mathematics, Filtering theory and Robust filtering, which intersect with Robust control.
The scientist’s investigation covers issues in Control theory, Mathematical optimization, Robust control, Robustness and Linear matrix inequality. His Control theory study frequently links to adjacent areas such as Control engineering. The concepts of his Mathematical optimization study are interwoven with issues in Nonlinear programming and Nonlinear system.
His Robust control course of study focuses on Optimization methods and Controller design. His biological study spans a wide range of topics, including Line search and Branch and bound. The Lyapunov function study combines topics in areas such as Discrete time and continuous time and Linear parameter-varying control.
His primary areas of study are Mathematical optimization, Control theory, Control theory, Robustness and Applied mathematics. His Mathematical optimization study integrates concerns from other disciplines, such as Stability, Norm and Nonlinear programming, Nonlinear system. His work on Linear system, Control system, Robust control and Observer as part of general Control theory research is often related to Transformation, thus linking different fields of science.
His Control theory research incorporates elements of Algebraic number and Industrial engineering. Pierre Apkarian performs integrative Robustness and Parametric statistics research in his work. His Applied mathematics study also includes fields such as
Pierre Apkarian mainly investigates Mathematical optimization, Control theory, Robustness, Parametric statistics and Stability. His research investigates the connection with Mathematical optimization and areas like Interval which intersect with concerns in Control system and State vector. His work on Controller design as part of general Control theory research is frequently linked to Rocket, bridging the gap between disciplines.
In general Robustness, his work in Robust control is often linked to Spectral abscissa and Square matrix linking many areas of study. His studies deal with areas such as Upper and lower bounds, Computation, Minification and Relaxation as well as Robust control. His work carried out in the field of Stability brings together such families of science as Plant models, Linear control and Trust region.
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A linear matrix inequality approach to H∞ control
Pascal Gahinet;Pierre Apkarian.
International Journal of Robust and Nonlinear Control (1994)
Self-scheduled H ∞ control of linear parameter-varying systems: a design example
Pierre Apkarian;Pascal Gahinet;Greg Becker.
A convex characterization of gain-scheduled H/sub /spl infin// controllers
P. Apkarian;P. Gahinet.
IEEE Transactions on Automatic Control (1995)
Affine parameter-dependent Lyapunov functions and real parametric uncertainty
P. Gahinet;P. Apkarian;M. Chilali.
IEEE Transactions on Automatic Control (1996)
Advanced gain-scheduling techniques for uncertain systems
Pierre Apkarian;Richard J. Adams.
Advances in linear matrix inequality methods in control (1999)
Parameterized linear matrix inequality techniques in fuzzy control system design
H.D. Tuan;P. Apkarian;T. Narikiyo;Y. Yamamoto.
IEEE Transactions on Fuzzy Systems (2001)
Robust pole placement in LMI regions
M. Chilali;P. Gahinet;P. Apkarian.
IEEE Transactions on Automatic Control (1999)
Nonsmooth H ∞ synthesis
Pierre Apkarian;Dominikus Noll.
ACMOS'05 Proceedings of the 7th WSEAS international conference on Automatic control, modeling and simulation (2005)
Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
E. Feron;P. Apkarian;P. Gahinet.
IEEE Transactions on Automatic Control (1996)
Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations
P. Apkarian;Hoang Duong Tuan;J. Bernussou.
IEEE Transactions on Automatic Control (2001)
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