Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control
This paper deals with the problem of stabilization for a class of hybrid systems with time-varying delays. The system to be considered is with nonlinear perturbation and the delay is time varying in both the state and control. Using an improved LyapunovKrasovskii functional combined with NewtonLeibniz formula, a memoryless switched controller design for exponential stabilization of switched systems is proposed. The conditions for the exponential stabilization are presented in terms of the solution of matrix Riccati equations, which allow for an arbitrary prescribed stability degree.
switched controller stabilization time-varying delay nonlinear perturbation riccati equation