KRASOVSKII-TYPE FUNCTIONALS FOR DELAYED SYSTEMS

EMANUEL SLAWIÑSKI; JOSÉ POSTIGO; VICENTE MUT

Río Cuarto, Córdoba, Argentina

Congreso; XI Reunión de Trabajo en Procesamiento de la Información y Control; 2005

This paper presents several stability conditions –delay magnitude independent- applied to systems with time-varying delay. Based on the Lyapunov-Krasovskii’s theory, the various proposed functionals incorporate information of the delayed system. In this work, linear systems with delay including stochastic and non-linear components are analysed. The main motivation of this paper is to arrive at stability conditions which show directly the influence of the time-varying delay and the non-delayed dynamics on the stability of a delayed system. Theoretical results are tested through numerical examples.