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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 954782, 9 pages
Research Article

Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays

1School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China
2School of Information Science and Engineering, Central South University, Changsha 410075, China

Received 30 September 2014; Revised 20 December 2014; Accepted 21 December 2014

Academic Editor: Muhammad Naveed Iqbal

Copyright © 2015 Tianjian Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.