Stabilizing memoryless controllers and controls with memory for a class of uncertain, bilinear systems with discrete and distributed delays
A class of robust feedback controls are designed to stabilize a class of uncertain, bilinear, delay systems containing multiple time-delays. Each delay system, in the class considered, is assumed to be of the retarded-type, and contains both discrete and distributed delays. A deterministic methodology based on Lyapunov theory and Lyapunov-Krasovskii functionals is utilized and feedback controllers are synthesized that will ensure, under appropriate hypotheses and satisfaction of appropriate stability criteria, a global uniform asymptotic stability property for the prescribed class of delay systems of the retarded-type.
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