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Stabilization and estimation for perturbed discrete time-delay large-scale systems. (English) Zbl 0889.93006

IEEE Trans. Autom. Control 42, No. 9, 1277-1282 (1997); comment ibid. 44, No. 8, 1632 (1999).
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:

93A15 Large-scale systems
93D15 Stabilization of systems by feedback
34K35 Control problems for functional-differential equations
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