A novel result on stability analysis for uncertain neutral stochastic time-varying delay systems

作者：Deng, Feiqi^*; Mao, Weihua; Wan, Anhua

来源：Applied Mathematics and Computation, 2013, 221: 132-143.

DOI：10.1016/j.amc.2013.05.071

• Stochastic neutral systems
• Generalized Finsler lemma
• Delay-dependent
• Mean-square exponentially stable
• Linear matrix inequality
• Orthogonal complement

This paper is concerned with the mean-square exponential stability analysis for uncertain neutral linear stochastic time-varying delay systems. By Lyapunov-Krasovskii theory and linear matrix inequality method, under the generalized Finsler lemma (GFL) framework, delay-dependent mean-square exponential stability criteria are established without involving model transformation, cross-terms bounding technique or additional free-weighting matrix. Moreover, GFL is also employed to obtain stability criteria for a class of uncertain linear stochastic neutral systems with different discrete and neutral delays. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing results.

• 出版日期2013-9-15
• 单位华南理工大学; 华南农业大学; 中山大学