Global Exponential Stability and Stabilization of Fractional-Order Positive Switched Systems

Xiangyang Cao; Leipo Liu; Hao Xing

doi:10.21276/ijircst.2017.5.4.7

Abstract

This paper is concerned with the global exponential stability(GES) and stabilization of fractional-order positive switched systems(FOPSS) with average dwell time(ADT). Firstly, the the concept of GES is extended to FOPSS. Then, by constructing copositive Lyapunov functions and using ADT approach, a state feedback controller is constructed, and sufficient conditions are derived to guarantee that the corresponding closed-loop system is globally exponentially stable. Such conditions can be easily solved by linear programming. Finally, an example is given to demonstrate the effectiveness of the proposed method.

Keywords

fractional-order positive switched systems, global exponential stability, average dwell time, linear programming.

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Cites this article as

X. Cao, L. Liu, H. Xing, "Global Exponential Stability and Stabilization of Fractional-Order Positive Switched Systems", International Journal of Innovative Research in Engineering & Management (ijircst), Vol-5, Issue-4, Page No-333-338, 2017. Available from: https://doi.org/10.21276/ijircst.2017.5.4.7

Corresponding Author

Xiangyang Cao

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

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Global Exponential Stability and Stabilization of Fractional-Order Positive Switched Systems

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