Stability analysis of switched positive nonlinear systems with a suitable switching law
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Abstract
This paper examines the stability of switched positive nonlinear systems with all unstable subsystems. A discretized co-positive Lyapunov function, combined with a mode-dependent dwell time switching law, yields novel sufficient conditions for ensuring global uniform asymptotic stability for these systems. Comparison with prior work demonstrates greater generality, owing to both the systems' nonlinearity and the specific switching strategy. A numerical example supports the theoretical findings.
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References
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