Abstract
This paper investigates the reliable H∞ stabilization problem for a class of two-dimensional (2-D) continuous nonlinear state-delayed systems represented by the Roesser state-space model, where the nonlinear function satisfies the sector bounded condition. By choosing an appropriate Lyapunov–Krasovskii functional, sufficient conditions for asymptotical stability with H∞ performance of the given system are derived. Then, a reliable controller is proposed such that the resulting closed-loop system is asymptotically stable and has a prescribed H∞ performance level γ in the presence of actuator failures. Finally, an example is given to illustrate the effectiveness of the proposed method.
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