Improved Stability Criteria for A Class of Stochastic Time-delay Systems with Norm Bounded and Nonlinear Uncertainties
The problem of robustly asymptotical stability for a class of stochastic time-delay systems with norm bounded and nonlinear uncertainties is considered. In order to save computing time, the approach proposed here chooses the delay fraction number as two, avoids to use any free weighting matrix and slack matrix, and estimates more accurately the item ∫t-h1t-h2 yT (α)Q1y(α)dα. It is mathematically shown that the conservativeness of the stability criteria investigated in this paper will become less when the positive integer s, involved in the estimation of ∫t-h1t-h2 yT (α)Q1y(α)dα, increases. Mathematical and numerical comparison of the approach proposed in this paper and ones in literature, which indicates that the proposed approach may be more effective than ones in literature.
stability stochastic time-delay systems norm bounded uncertainty nonlinear uncertainty.
Meng Yuan Guodong Zhang 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
357-362
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）