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

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...

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Bibliographic Details
Main Authors: Kanit Mukdasai, Piyapong Niamsup
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/860506
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