Title :
Semi-global Practical Stability of Periodic Time-Varying Systems via Averaging: A Lyapunov Approach
Author :
Bhat, Sanjay P. ; Cowlagi, Raghvendra
Author_Institution :
Dept. of Aerosp. Eng., Indian Inst. of Technol. Bombay, Mumbai
Abstract :
This paper considers semi-global practical stability of a general time-varying, parameter dependent nonlinear system. A Lyapunov result for uniform semi-global practical stability of such a system is given. This sufficient condition is applied to a periodically time-varying system in the standard averaging form to obtain a sufficient condition on the averaged system for the time-varying system to be uniformly semi-globally practically stable. The sufficient condition requires the existence of a Lyapunov function that guarantees the semi-global practical stability of the averaged system, and is thus weaker than previous averaging based stability results which require the equilibrium of the averaged system to be exponentially or asymptotically stable. The proof is based on Lyapunov techniques, and does not depend on classical averaging results
Keywords :
Lyapunov methods; nonlinear control systems; periodic control; stability; time-varying systems; Lyapunov function; averaging form; general time-varying parameter dependent nonlinear system; periodic time-varying systems; semiglobal practical stability; Asymptotic stability; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Sufficient conditions; Time varying systems; USA Councils; Yield estimation;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377811