H∞ control of linear time-varying systems: a state-space approach
SIAM Journal on Control and Optimization
Neural networks for control systems: a survey
Automatica (Journal of IFAC)
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Improved Global Robust Stability for Interval-Delayed Hopfield Neural Networks
Neural Processing Letters
Brief paper: Robust filtering with stochastic nonlinearities and multiple missing measurements
Automatica (Journal of IFAC)
Delay-dependent H∞ and generalized H2 filtering for delayed neural networks
IEEE Transactions on Circuits and Systems Part I: Regular Papers
IEEE Transactions on Neural Networks
New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay
IEEE Transactions on Neural Networks
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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.