Guaranteed cost control of linear uncertain neutral type systems with multiple delays

The guaranteed cost control program via memoryless state feedback controllers is studied in this paper for linear neutral type systems with norm-bounded time-varying parametric uncertainty and a given quadratic cost function. The time-delays considered here are assumed bounded but no information to be available. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequalities. Furthermore, a convex optimization problem with LMI constrains is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system.