Title :
New results of stability analysis for systems with two additive time-varying delays
Author :
Xunlin, Zhu ; Xin, Du
Author_Institution :
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
Abstract :
This paper studies the problem of stability analysis for continuous-time systems with two additive time-varying delay components. By taking the independence and the variation of the additive delay components into consideration, a more general type of Lyapunov functionals is defined. Together with a tighter estimation of the upper bound of the cross-product terms derived from the derivative of the Lyapunov functional, a less conservative delay-dependent stability criterion is established in terms of linear matrix inequalities (LMIs). Combining with a reciprocally convex combination technique, the newly obtained stability conditions are also less complex. A numerical example is given to illustrate the effectiveness and the significant improvement of the proposed method.
Keywords :
Lyapunov methods; continuous time systems; delays; linear matrix inequalities; stability; stability criteria; time-varying systems; LMI; Lyapunov functionals; additive time-varying delay components; continuous-time systems; cross-product terms; less conservative delay-dependent stability criterion; linear matrix inequalities; stability analysis problem; stability conditions; upper bound estimation; Additives; Asymptotic stability; Delay; Numerical stability; Stability criteria; Time varying systems; Additive Time-Delay; Delay-Dependent Stability; Linear Matrix Inequality (LMI); Lyapunov Functional;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3