A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay. (10th July 2014)

• Record Type: Journal Article
• Authors: Jiao, Jianmin; Zhang, Rui
• Other Names: Zhao Yuxin Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-07-10
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/679460
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper investigates delay-dependent stability problem for singular systems with interval time-varying delay. An appropriate Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple equidistant subintervals, where both the information of every subinterval and time-varying delay have been taken into account. Employing the Lyapunov-Krasovskii functional, improved delay-dependent stability criteria for the considered systems to be regular, impulse-free, and stable are established. Finally, two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.