Delay-partition and Delay-distribution Based Exponential Mean Square Stability Criteria for Continuous-time Linear Systems with State Delay
This paper presents Exponential Mean Square Stability (EMSS) criteria of a class of continuous-time linear systems with state delay which has probability characteristics. By comprehensively using the information of delaypartition and delay-distribution, and constructing an appropriate Lyapunov-Krasovskii functional, EMSS criteria in the form of linear matrix inequalities are obtained. Compared with existing results, the EMSS criteria provided in this paper have three advantages: (i) a time-delay model submitting to multinomial distribution is .rst introduced, and thus the information of delay-partition and delay-distribution is suf.ciently used; (ii) the EMSS criteria given by this paper may be less conservative; and (iii) the EMSS criteria given by this paper does not need to bring in any free weighting matrix, which reduces the computational complexity. These advantages indicate that the conservativeness of the EMSS criteria will not be weaker when the number of free weighting matrices increases. Finally, a numerical example is given to demonstrate the effectiveness and superiority of the proposed method.
random delay continuous linear time-delay system exponential mean square stability probability distribution.
Wei-Jun Ma Xue Yang Xian Zhang
School of Mathematical Science, Heilongjiang University, Harbin 150080, China.
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
351-356
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）