Title :
Stability analysis via averaging for nonlinear systems with delays
Author :
Yang Yang ; Yuan Wang
Author_Institution :
Dept. of Math. Sci., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
In this work we consider stability of time-varying systems with time delays via the averaging method. It is shown that if the strong averaged system of a system affected by a small positive parameter ε admits a Lyapunov-Razumikhin function for the input-to-state stability (ISS) property, then the original system satisfies a semiglobal and practical ISS-like property as the small parameter ε converges to zero.
Keywords :
Lyapunov methods; delays; nonlinear control systems; stability; time-varying systems; Razumikhin function; averaging method; input-to-state stability property; nonlinear systems; practical ISS-like property; semiglobal ISS-like property; small positive parameter; stability analysis; strong averaged system; time delays; time-varying systems; Asymptotic stability; Delay effects; Delays; Nonlinear systems; Stability analysis; Time-varying systems; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039744
