Robust guaranteed cost control of nonlinear uncertain time-varying delay systems

This paper focuses on the problem of guaranteed cost control of uncertain time-varying delay systems. Stability and stabilization conditions are first proposed, and sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequalities (LMI). Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system. Some examples are used to illustrate the effectiveness and feasibility of the approaches proposed in this paper.