An LMI Approach to Stability for Linear Time‐Varying System with Nonlinear Perturbation on Time Scales

Kanit Mukdasai and Piyapong Niamsup

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We consider Lyapunov stability theory of linear time‐varying system and derive sufficient conditions for uniform stability, uniform exponential stability, ψ‐uniform stability, and h‐stability for linear time‐varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results.

Date: 2011
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https://doi.org/10.1155/2011/860506

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:860506

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