Attraction Domains of Delay Systems: Construction by the Lyapunov Function Method

摘要

Description of attraction domains of delay systems is studied. Attraction domains are estimated by the Lyapunov functions method and a method of determining the required Lyapunov function. Delay in real control systems has stimulated intensive study of delay systems. Special attention here is paid to an important property of control systems, viz., stability. A pivotal still unresolved problem of practical significance is the determination of the attraction domain of the unperturbed solution. It becomes more complicated if delay is taken into account. Unfortunately, this problem has not been not given due attention. Estimates of attraction domains have been found only for special systems.