Exponential stability analysis for a class of neutral singular Markovian jump systems with time-varying delays. Issue 12 (August 2019)

• Record Type: Journal Article
• Authors: Long, Shaohua; Zhong, Shouming; Guan, Hongbo; Zhang, Dian
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 12(2019)
• Page Start: 6015
• Page End: 6040
• Publication Date: 2019-08
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2019.04.036
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper deals with the exponential stability problem for a class of neutral singular systems with Markovian jump parameters. The considered systems involve time-varying delays not only in their state but also in their derivatives of state. By using the Lyapunov–Krasovskii functional method, some sufficient conditions are derived, which ensure that the considered systems are regular, impulse-free and exponentially stable. Finally, some numerical examples are employed to demonstrate the effectiveness of the obtained approaches.