Exponential Stabilizability of Switched Systems with Polytopic Uncertainties
نویسندگان
چکیده
منابع مشابه
Exponential Stabilizability of Switched Systems with Polytopic Uncertainties
The exponential stabilizability of switched nonlinear systems with polytopic uncertainties is explored by employing themethods of nonsmooth analysis and theminimum quadratic Lyapunov function. The switchings among subsystems are dependent on the directional derivative along the vertex directions of subsystems. In particular, a sufficient condition for exponential stabilizability of the switched...
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In this paper, we consider quadratic stabilizability via state feedback for both continuous-time and discrete-time switched linear systems that are composed of polytopic uncertain subsystems. By state feedback, we mean that the switchings among subsystems are dependent on system states. For continuous-time switched linear systems, we show that if there exists a common positive definite matrix f...
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* Correspondence: [email protected] Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiangmai, 50290, Thailand Abstract This article is concerned with mean square robust stability of stochastic switched discrete time-delay systems with convex polytopic uncertainties. The system to be considered is subject to interval time-varying delays, which allows the delay to b...
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In this paper, the quadratic stabilization of switched linear systems with polytopic uncertainties is considered. Compared with the existing result, a more general switching control method is proposed to guarantee the quadratic stabilization. This switching control method is based on the partition of vertex matrix set of each subsystem. By this method, the matrix inequalities needed to be solve...
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∗ Department of Mechanical Engineering, École Polytechnique de Montréal, P. O. Box 6079, Station centre-ville, Montréal, Québec, Canada, H3C 3A7. (e-mail: [email protected]) ∗∗ Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, U.K. (e-mail: [email protected]) ∗∗∗ Department of Physical and Mathematical Sciences, Autonomous University of Nuevo L...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/853170