Finite-time boundedness analysis and H∞ control for switched neutral systems with mixed time-varying delays. Issue 2 (January 2017)

• Record Type: Journal Article
• Authors: Dong, Yali; Liu, Wanjun; Li, Tianrui; Liang, Shuang
• Is Part Of: Journal of the Franklin Institute. Volume 354:Issue 2(2017:Feb.)
• Page Start: 787
• Page End: 811
• Publication Date: 2017-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2016.10.037
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper investigates the finite-time boundedness, observer-based finite-time stabilization, and H ∞ control problems for a class of switched neutral systems with mixed time-varying delays and nonlinear perturbation. Using the delay-dependent Lyapunov–Krasovskii functional and the average dwell time technique, criteria to guarantee that the nonlinear switched neutral system is finite-time bounded are presented. Then, based on the matrix inequalities technology and the average dwell time approach, sufficient conditions of observer-based finite-time stabilization are established. Also, the observer-based feedback controller for the finite-time H ∞ control problem is obtained. Finally, two numerical examples are given to illustrate the efficiency of the proposed methods.