Stability of Hybrid Stochastic Systems with Time-Delay. (17th March 2014)

• Record Type: Journal Article
• Authors: Xing-cheng, Pu; Wei, Yuan
• Other Names: Liu S. Academic Editor.; Ólafsson G. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2014(2014)
• Publication Date: 2014-03-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.1155/2014/423413
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : This paper develops some criteria for a kind of hybrid stochastic systems with time-delay, which improve existing results on hybrid systems without considering noises. The improved results show that the presence of noise is quite involved in the stability analysis of hybrid systems. New results can be used to analyze the stability of a kind of stochastic hybrid impulsive and switching neural networks (SHISNN). Therefore, stability analysis of SHISNN can be turned into solving a linear matrix inequality (LMI).