Circuits, Systems, and Signal Processing

, Volume 38, Issue 4, pp 1619–1638 | Cite as

Input–Output Finite-Time Stability of Fractional-Order Positive Switched Systems

  • Jinxia Liang
  • Baowei WuEmail author
  • Yue-E Wang
  • Ben Niu
  • Xuejun Xie


Input–output finite-time stability (IO-FTS) of fractional-order positive switched systems (FOPSS) is investigated in this paper. First of all, the concept of IO-FTS is extended to FOPSS. Then, by using co-positive Lyapunov functional method together with average dwell time approach, some sufficient conditions of input–output finite-time stability for the considered system are derived. Furthermore, the state feedback controller and the static output feedback controller are designed, and sufficient conditions are presented to ensure that the corresponding closed-loop system is input–output finite-time stable. These conditions can be easily obtained by linear programming. Finally, three numerical examples are given to show the effectiveness of the theoretical results.


Fractional-order systems Positive switched systems Input–output finite-time stability 



This work was supported by the National Natural Science Foundation of China under Grant 61403241 and the Fundamental Research Funds for the Central Universities under Grant GK201703009.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and Information ScienceShaanxi Normal UniversityXi’anChina
  2. 2.The School of Information Science and EngineeringShandong Normal UniversityJinanChina
  3. 3.Institute of AutomationQufu Normal UniversityQufuChina

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