Finite-Time Boundedness Analysis for a Class of Switched Linear Systems with Time-Varying Delay. (13th February 2014)

• Record Type: Journal Article
• Authors: Zhong, Yanke; Chen, Tefang
• Other Names: Glizer Valery Y. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-02-13
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/982414
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The problem of finite-time boundedness for a class of switched linear systems with time-varying delay and external disturbance is investigated. First of all, the multiply Lyapunov function of the system is constructed. Then, based on the Jensen inequality approach and the average dwell time method, the sufficient conditions which guarantee the system is finite-time bounded are given. Finally, an example is employed to verify the validity of the proposed method.