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BIBO stabilization of time-delayed system with nonlinear perturbation. (English) Zbl 1130.93046
Summary: Time-delayed control system with the nonlinear perturbation is considered. Novel BIBO stabilization criteria are established by the Lyapunov functional and formulated in terms of existence of a positive definite solution to an auxiliary algebraic Riccati matrix equation. The robust quadratic stability for such systems is also discussed. A numerical example is given to illustrate the effectiveness of our result.
MSC:
93D25Input-output approaches to stability of control systems
93D30Scalar and vector Lyapunov functions
93D09Robust stability of control systems
93C73Perturbations in control systems
34K35Functional-differential equations connected with control problems