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Journal of Control Science and Engineering
Volume 2017, Article ID 4896764, 9 pages
https://doi.org/10.1155/2017/4896764
Research Article

Input-Output Finite-Time Control of Positive Switched Systems with Time-Varying and Distributed Delays

College of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China

Correspondence should be addressed to Leipo Liu; moc.361@321opieluil

Received 12 December 2016; Accepted 20 February 2017; Published 6 March 2017

Academic Editor: Ai-Guo Wu

Copyright © 2017 Leipo Liu 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.

Abstract

The problem of input-output finite-time control of positive switched systems with time-varying and distributed delays is considered in this paper. Firstly, the definition of input-output finite-time stability is extended to positive switched systems with time-varying and distributed delays, and the proof of the positivity of such systems is also given. Then, by constructing multiple linear copositive Lyapunov functions and using the mode-dependent average dwell time (MDADT) approach, a state feedback controller is designed, and sufficient conditions are derived to guarantee that the corresponding closed-loop system is input-output finite-time stable (IO-FTS). Such conditions can be easily solved by linear programming. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.