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BIBO stabilization for system with multiple mixed delays and nonlinear perturbations. (English) Zbl 1245.93114
Summary: The problem of BIBO stabilization for multiple mixed time-delayed control system with nonlinear perturbations is studied in this paper. The new delay-dependent BIBO stabilization criteria are derived by the Lyapunov functional and given in terms of existence of a positive definite solution to an auxiliary algebraic Riccati matrix equation. The robust quadratic stability for such system is also discussed. The work of this paper will extend the results of some references.

MSC:
93D15 Stabilization of systems by feedback
93C73 Perturbations in control/observation systems
93C23 Control/observation systems governed by functional-differential equations
34K20 Stability theory of functional-differential equations
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