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

Kanit Mukdasai | Zendy; Piyapong Niamsup | Zendy

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

Author(s) -

Kanit Mukdasai,

Piyapong Niamsup

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/860506

Subject(s) - mathematics , perturbation (astronomy) , nonlinear system , lyapunov function , stability (learning theory) , control theory (sociology) , exponential stability , linear stability , linear system , lyapunov stability , mathematical analysis , computer science , physics , control (management) , quantum mechanics , machine learning , artificial intelligence

We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -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

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