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

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.

Authors and Affiliations

Xiangyang Cao, Leipo Liu, Hao Xing

Keywords

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  • EP ID EP748320
  • DOI 10.21276/ijircst.2017.5.4.7
  • Views 51
  • Downloads 0

How To Cite

Xiangyang Cao, Leipo Liu, Hao Xing (2017). Global Exponential Stability and Stabilization of Fractional-Order Positive Switched Systems. International Journal of Innovative Research in Computer Science and Technology, 5(4), -. https://europub.co.uk/articles/-A-748320