Abstract and Applied Analysis

Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching

Shipei Huang, Zhengrong Xiang, and Hamid Reza Karimi

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Abstract

This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 961870, 12 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393447720

Digital Object Identifier
doi:10.1155/2013/961870

Mathematical Reviews number (MathSciNet)
MR3055965

Zentralblatt MATH identifier
1271.93131

Citation

Huang, Shipei; Xiang, Zhengrong; Karimi, Hamid Reza. Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 961870, 12 pages. doi:10.1155/2013/961870. https://projecteuclid.org/euclid.aaa/1393447720


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