A new result on stability analysis for stochastic neutral systems

作者：Chen, Yun; Zheng, Wei Xing^*; Xue, Anke

来源：Automatica, 2010, 46(12): 2100-2104.

DOI：10.1016/j.automatica.2010.08.007

• Stochastic neutral systems
• Mean-square exponential stability
• Delay dependent criterion
• Generalized Finsler lemma

This paper discusses the mean-square exponential stability of stochastic linear systems of neutral type Applying the Lyapunov-Krasovskii theory a linear matrix inequality-based delay-dependent stability condition is presented The use of model transformations cross-term bounding techniques or additional matrix variables is all avoided thus the method leads to a simple criterion and shows less conservatism The new result is derived based on the generalized Finsler lemma (GFL) GEL reduces to the standard Finsler lemma in the absence of stochastic perturbations and it can be used in the analysis and synthesis of stochastic delay systems Moreover GFL is also employed to obtain stability criteria for a class of stochastic neutral systems which have different discrete and

• 出版日期2010-12
• 单位杭州电子科技大学