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

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  • Kanit Mukdasai
  • Piyapong Niamsup

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.

Suggested Citation

  • Kanit Mukdasai & Piyapong Niamsup, 2011. "An LMI Approach to Stability for Linear Time‐Varying System with Nonlinear Perturbation on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:860506
    DOI: 10.1155/2011/860506
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    References listed on IDEAS

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    1. Martin Bohner & Allan Peterson, 2001. "Dynamic Equations on Time Scales," Springer Books, Springer, number 978-1-4612-0201-1, March.
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