Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays. (11th January 2015)

• Record Type: Journal Article
• Authors: Yu, Tianjian; Zhong, Yanke; Chen, Tefang; Chen, Chunyang
• Other Names: Iqbal Muhammad Naveed Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-01-11
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/954782
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : This paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Taking interval and polytopic uncertainties into account, a robust state feedback controller is built such that the switched positive linear system is finite-time bounded. Finally, an example is employed to illustrate the validities of obtained results.