Global Exponential Stability and Stabilization of Fractional-Order Positive Switched Systems
Journal Title: International Journal of Innovative Research in Computer Science and Technology - Year 2017, Vol 5, Issue 4
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
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