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Stability of partially unstable discrete-time switched positive nonlinear systems with delays

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  • Ni, Jinyuan
  • Sheng, Yin
  • Xiao, Qiang
  • Zeng, Zhigang
  • Huang, Tingwen

Abstract

This paper addresses the stability issue of discrete-time switched positive nonlinear systems (SPNSs) characterized by partial unstable subsystems and constant delays. Firstly, we use a parameter to constrain the ratio of active durations of the stable and unstable modes, and derive the exponential stability conditions for SPNSs based on a key function. Then we analyze the relationship between convergence speed and the constant delay. Additionally, we obtain a stability criterion of SPNSs under a particular sequence of switching signals. Finally, we validate the results through a numerical example.

Suggested Citation

  • Ni, Jinyuan & Sheng, Yin & Xiao, Qiang & Zeng, Zhigang & Huang, Tingwen, 2025. "Stability of partially unstable discrete-time switched positive nonlinear systems with delays," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    • Handle: RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325003170
    DOI: 10.1016/j.amc.2025.129591
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