BIBO stabilization for system with multiple mixed delays and nonlinear perturbations

摘要

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.