Robust Stabilization for Constrained Switched Positive Linear Systems via Output-Feedback

  • Jinjin LiuEmail author
  • Shanen Yu
  • Zhiqiang Li
  • Ting Zhang
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 480)


This paper deals with the robust stabilization problem by constrained output-feedback control of switched positive linear systems with uncertainties. Firstly, the synthesis of output-feedback controllers is tackled when the parameters of systems subject to interval and polytopic uncertainties. Secondly, the bounded controllers ensure that the closed-loop system is stable and positive. In addition, the proposed conditions are formulated as linear programming.


Switched positive linear systems Robust stabilization Bounded controls Linear programming 



This work was supported by the National Natural Science Foundation of the People’s Republic of China under Grants Nos. 61803144, 61873314, 61603125, and the Key Scientific Research Projects for Colleges and Universities of Henan Province No.19A120001.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jinjin Liu
    • 1
    Email author
  • Shanen Yu
    • 2
  • Zhiqiang Li
    • 1
  • Ting Zhang
    • 1
  1. 1.Department of Mathematics and Information ScienceHenan University of Economics and LawZhengzhouChina
  2. 2.School of AutomationHangzhou Dianzi UniversityHangzhouChina

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