Sufficient stability conditions and stabilizing control design for delay differential systems of a~special type

N. O. Sedova

Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 118-130.

Résumé

This paper introduces some sufficient conditions for uniform and asymptotic global stability as well as the algorithms for design of stabilizing control for special systems like cascaded (triangular) systems and integrator chains. The results are presented in terms of semidefinite Lyapunov functions, and they hold for nonlinear nonautonomous systems. Application of the results proposed is illustrated by some classical examples.

Détail

Keywords: stability, stabilization, time-delay, Lyapunov function.

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