Refined exponential stability for stochastic Markovian jump systems with nonlinearity and time-varying delays
This paper is concerned with exponential stability for stochastic Markovian jump systems with nonlinearity and timevarying delay. By combining Lyapunov-Krasovskii functional method and Jensen inequality technique, a delay-dependent and delay-rate-dependent exponential stability criterion for stochastic Markovian jump systems with nonlinearity and time-varying delay is investigated. The proposed approach removes some free-weighting matrices required in Int. J. Robust Nonlinear control, 2010, 20(1): 16–26, which reduces computational complexity. It is mathematically shown that the approach proposed here may be less conservative than the one mentioned above. Two numerical examples are provided to illustrate the applicability and the benefits of the proposed approach.
stochastic Markovian jump systems exponential stability
Meng Yuan Xian Zhang
School of Mathematical Science, Heilongjiang University, Harbin 150080, China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1602-1607
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）