Delay-range-dependent robust output-feedback stabilization for Markovian jump systems with mode-dependent time delays and nonliearities

This paper is concerned with the exponential mean-square stabilization problem via dynamic output-feedback controller for Markovian jump systems with nonlinear perturbations and time delays. Sufficient delay-range-dependent stabilization conditions for the existence of robust output-feedback controller are proposed in terms of linear matrix inequalities (LMIs) with equality constraints. Since the obtained conditions are not strict LMI conditions, a globally convergent algorithm involving convex optimization based on the sequential linear programming matrix is suggested to solve the matrix inequalities characterizing the output-feedback controller solutions. It is shown that the maximum allowable bound on the nonlinearity could be computed thorough solving a constraint optimization problem. Finally, an illustrative example is given to show the effectiveness of the proposed approach.