This paper addresses the robust stabilization and H∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H∞ control are established in terms of linear matrix inequalities.
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