Title :
Robust stability analysis of a class of neutral type time delay equations
Author :
Velázquez-Velázquez, J.E. ; Kharitonov, V.L. ; Mondié, S.
Author_Institution :
Div. de Ing. Mecatronica, Univ. Politec. del Valle de Mexico, Tultitlan, Mexico
Abstract :
In this contribution the robust stability of a class of linear neutral type time delay equations with bounded uncertain coefficients is analyzed via Lyapunov-Krasovskii functionals of complete type. For any exponentially stable nominal systems, we are able to present bounds on the uncertainties that guarantee the stability of the perturbed system. The quadratic Lyapunov-Krasovskii functionals of complete type for scalar neutral type time delay equations depend on the so-called Lyapunov function for neutral time delay systems. Thus, the sufficient robust stability conditions depend on the Lyapunov function.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; differential equations; bounded uncertain coefficients; exponential stability; neutral type time delay equations; quadratic Lyapunov-Krasovskii functionals; robust stability analysis; Delay effects; Differential equations; Heat engines; Lyapunov method; Propagation losses; Resistance heating; Robust stability; Systems engineering and theory; Uncertainty; Water heating;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738807
