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Mixed random variable delay interval systems with robust control

Author: LiZhi
Tutor: LuoJiaoWan
School: Central South University
Course: Probability Theory and Mathematical Statistics
Keywords: Lyapunov function Controllability Asymptotically stable Robust Stability LMI
CLC: O231
Type: Master's thesis
Year: 2006
Downloads: 55
Quote: 0
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Abstract


Stochastic differential systems robust stability and controllability stability theory and cybernetics is an important issue. Markov process is a kind of the most important random process ; other hand, we often encountered in the real system parameters and uncertainty and time delay , which is an important factor in system instability . This paper mainly discusses Markovian stochastic differential systems varying delay uncertainties robust stability and hybrid stochastic delay interval systems controllable. This paper is divided into four chapters. The first chapter outlines the history of the development and the stability theory of the practical significance of this study . The second chapter describes the stochastic analysis , stochastic integral , It (?) Formula , It (?) Theorem basics. The third chapter focuses on a class of linear and quasi- linear Markovian stochastic differential systems varying delay uncertainties robust stability and gives several useful inferences and examples. The fourth chapter focuses on a class of linear and quasi- linear stochastic delay interval systems with hybrid feedback control in a variety of asymptotic stability of almost everywhere . And mainly applied Lyapunov function and linear matrix inequality conditions for the establishment of the conclusions are given .

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CLC: > Mathematical sciences and chemical > Mathematics > Control theory, information theory ( mathematical theory ) > Cybernetics ( control theory, mathematical theory )
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