Abstract
Abstract A class of robust continuous feedback controls, with memory, is synthesized and a delay-free stability criterion is presented for a class of imperfectly known time-delay systems of the neutral type, when there are constraints on the control input. The uncertain systems are modelled as nonlinear perturbations to a known linear neutral time-delay control system and, as well as being time and state dependent, the nonlinear perturbations are assumed to be state delay-dependent and input dependent. Moreover, prior information on the bound of the system uncertainty is required. A deterministic approach is taken and, using a Lyapunov-Krasovskiĭ functional, a global uniform asymptotic stability property is investigated for the class of systems.
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