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Stability and L1-gain analysis of switched positive systems with unstable subsystems and sector nonlinearities
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DOI：10.1016/j.jfranklin.2024.107255.png)
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Abstract
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In this paper, we are concerned with exponential stability and L-1-gain performance of a type of switched nonlinear positive systems (SNPSs) with time-varying delay made up of partially unstable subsystems. What sets it apart from other articles is that nonlinear parts of this article are confined in a certain region. Besides, the adequacy criteria are obtained in a linear programming format via designing the novel nonlinear Lyapunov-Krasovskii (L-K) functionals and a set of special switching sequences under average dwell time (ADT) switching rule. Eventually, with the help of comparison principle, the theoretical results can be further expanded to time-varying switched systems. As practical applications, we apply the theoretical achievements to stability of switched neural networks to confirm the feasibility of the conclusions.
Keywords:
Switched positive system
Exponential stability
Sector nonlinearity
Unstable subsystem
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