LMI-based robust H∞ control of uncertain neutral systems with state and input delays

Robust stabilization and robust H-infinity control problems for a class of uncertain neutral system with state and input delays are considered. By choosing a Lyapunov-Krasovskii functional, an alternative delay-dependent sufficient condition for the existence of a controller is derived in terms of linear matrix inequalities. Furthermore, a convex optimization problem can be formulated to obtain an H-infinity controller which minimizes an upper H-infinity norm bound of the closed-loop state-input delayed system.