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

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

4646

Lastpage

4651

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4738807

Filename

4738807