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Stabilization and estimation for perturbed discrete time-delay large-scale systems. (English) Zbl 0889.93006
Based on a derived algebraic inequality, a criterion to guarantee the robust stabilization and the state estimation for perturbed discrete time-delay large-scale systems is proposed. This criterion is independent of the time delay and does not need the solution to a Lyapunov equation or to a Riccati equation. Furthermore, the same problem for continuous-time systems is also solved by a much simpler derivation.
MSC:
93A15Large scale systems
93D15Stabilization of systems by feedback
34K35Functional-differential equations connected with control problems