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

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

Applied Mathematics and Computation, 2025, vol. 507, issue C

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.

Keywords: Switched positive nonlinear systems; Exponential stability; Time delay; Unstable subsystems (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325003170

DOI: 10.1016/j.amc.2025.129591

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