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Exponential Stability of Switched Positive Homogeneous Systems

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  • Dadong Tian
  • Shutang Liu

Abstract

This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields. In order to capture the decay rate of such systems, we first consider the subsystems. A sufficient condition for exponential stability of subsystems with time-varying delays is derived. In particular, for the corresponding delay-free systems, we prove that this sufficient condition is also necessary. Then, we present a sufficient condition of exponential stability under minimum dwell time switching for the switched positive nonlinear systems. Some results in the previous literature are extended. Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Dadong Tian & Shutang Liu, 2017. "Exponential Stability of Switched Positive Homogeneous Systems," Complexity, Hindawi, vol. 2017, pages 1-8, November.
    • Handle: RePEc:hin:complx:4326028
    DOI: 10.1155/2017/4326028
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    Cited by:

    1. 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.

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