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Entropy 2015, 17(5), 2655-2676; doi:10.3390/e17052655

State Feedback with Memory for Constrained Switched Positive Linear Systems

Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China
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Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 4 February 2015 / Revised: 19 April 2015 / Accepted: 23 April 2015 / Published: 27 April 2015
(This article belongs to the Section Complexity)
View Full-Text   |   Download PDF [367 KB, uploaded 27 April 2015]   |  

Abstract

In this paper, the stabilization problem in switched linear systems with time-varying delay under constrained state and control is investigated. The synthesis of bounded state-feedback controllers with memory ensures that a closed-loop state is positive and stable. Firstly, synthesis with a sign-restricted (nonnegative and negative) control is considered for general switched systems; then, the stabilization issue under bounded controls including the asymmetrically bounded controls and states constraints are addressed. In addition, the results are extended to systems with interval and polytopic uncertainties. All the proposed conditions are solvable in term of linear programming. Numerical examples illustrate the applicability of the results. View Full-Text
Keywords: switched linear systems; positive systems; bounded control; delay; linear programming switched linear systems; positive systems; bounded control; delay; linear programming
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. (CC BY 4.0).

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Liu, J.; Zhang, K. State Feedback with Memory for Constrained Switched Positive Linear Systems. Entropy 2015, 17, 2655-2676.

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