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Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems

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  • Yuangong Sun
  • Zhaorong Wu
  • Fanwei Meng

Abstract

Lyapunov functions play a key role in the stability analysis of complex systems. In this paper, we study the existence of a class of common weak linear copositive Lyapunov functions (CWCLFs) for positive switched linear systems (PSLSs) which generalize the conventional common linear copositive Lyapunov functions (CLCLFs) and can be used as handy tool to deal with the stability of PSLSs not covered by CLCLFs. We not only establish necessary and sufficient conditions for the existence of CWCLFs but also clearly describe the algebraic structure of all CWCLFs. Numerical examples are also given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Yuangong Sun & Zhaorong Wu & Fanwei Meng, 2018. "Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems," Complexity, Hindawi, vol. 2018, pages 1-7, February.
    • Handle: RePEc:hin:complx:1365960
    DOI: 10.1155/2018/1365960
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    References listed on IDEAS

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    1. Li, Yanan & Sun, Yuangong & Meng, Fanwei & Tian, Yazhou, 2018. "Exponential stabilization of switched time-varying systems with delays and disturbances," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 131-140.
    2. Dadong Tian & Shutang Liu, 2017. "Exponential Stability of Switched Positive Homogeneous Systems," Complexity, Hindawi, vol. 2017, pages 1-8, November.
    3. Yuangong Sun & Fanwei Meng, 2017. "Reachable Set Estimation for a Class of Nonlinear Time-Varying Systems," Complexity, Hindawi, vol. 2017, pages 1-6, July.
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    Cited by:

    1. Lei Yu & Junyi Hou, 2018. "Large-Screen Interactive Imaging System with Switching Federated Filter Method Based on 3D Sensor," Complexity, Hindawi, vol. 2018, pages 1-11, December.
    2. Wei-Lu Diao & Cui-Qin Ma, 2019. "Sign-Consensus of Linear Multiagent Systems under a State Observer Protocol," Complexity, Hindawi, vol. 2019, pages 1-6, November.

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