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Stability of a class of stochastic delay system

Author: YangXue
Tutor: MaWeiJun；ZhangXian
School: Heilongjiang University
Course: Applied Mathematics
Keywords: Continuous linear delay systems Probability distribution Exponential mean square stability Robust Stability Linear matrix inequalities
CLC: TP13
Type: Master's thesis
Year: 2011
Downloads: 7
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Abstract


Delay phenomenon and uncertainty are pervasive in many practical systems , their presence makes the analysis of the system becomes more complex and difficult , and usually the main cause system instability , an important study of delay systems index of theoretical significance and practical value of this study a class of delay to meet the uncertain probability characteristics of continuous linear time-delay systems mean square f robust ) stability problem based on the time delay of a new probability distribution, the system is transformed into system model with a random coefficient matrix , by selecting reasonable Lyapunov_Krasovs kii functional , given in the form of linear matrix inequalities system exponential mean square stability criterion proved This paper gives an exponential mean square stability sentenced According to a special case in the literature the Int J Robust Nonlinear control 2fJfJ9 19f4 ) ,377 -393 ] given the same solvability , thus proving the index of this paper mean square stability criterion with greater scope due to the mean-square stability criterion of the index is given in this article do not need to introduce any liberties matrix, which reduces the computational complexity , also showed that conservative does not necessarily increase matrix with the right to freedom of reducing by numerical cases and simulation shows the effectiveness and superiority of the proposed method

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