Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach

This paper investigates the robust guaranteed cost control for a class of uncertain neutral system with time-varying delays. Based on Lyapunov–Krasovskii functional theory, some stabilization criteria are derived and guaranteed costs are given. Delay-dependent and delay-independent criteria are proposed for the stabilization of our considered systems. State feedback control is considered to stabilize the uncertain neutral system and upper bounds on the closed-loop cost function are given. Linear matrix inequality (LMI) approach and genetic algorithm (GA) are used to solve the stabilization problems. The optimal guaranteed cost control which will minimize the guaranteed cost for the system is provided. A procedure for the controller design is provided. Finally, two numerical examples are illustrated to show the use of our obtained results.