New H∞ Controller Design for Neural Networks with Interval Time-Varying Delays in State and Observation

This article addresses the H∞ control problem of delayed neural networks, where the state input and observation output contain interval non-differentiable time-varying delays. Based on constructing a new set of Lyapunov–Krasovskii functionals, new delay-dependent sufficient criteria for H∞ control are established in terms of linear matrix inequalities. The Lyapunov–Krasovskii functional is mainly based on the information of the lower and upper delay bounds, which allows us to avoid using additional free-weighting matrices and any assumption on the differentiability of the delay function. The obtained condition is less conservative because of the technique of designing state feedback controller. The H∞ controller to be designed must satisfy some exponential stability constraints on the closed-loop poles. A numerical example is given to illustrate the effectiveness of our results.

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