Stability of Time-Delay Systems
Stability of Time-Delay Systems
A new delay system approach to network-based control
Automatica (Journal of IFAC)
Brief paper: Robust sampled-data H∞ control with stochastic sampling
Automatica (Journal of IFAC)
International Journal of Systems Science
Technical communique: Reciprocally convex approach to stability of systems with time-varying delays
Automatica (Journal of IFAC)
Expert Systems with Applications: An International Journal
Brief paper: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
Automatica (Journal of IFAC)
Expert Systems with Applications: An International Journal
Stabilization for Sampled-Data Neural-Network-Based Control Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Brief Stability analysis of digital feedback control systems with time-varying sampling periods
Automatica (Journal of IFAC)
Brief Integral control by variable sampling based on steady-state data
Automatica (Journal of IFAC)
State estimation for delayed neural networks
IEEE Transactions on Neural Networks
A New Criterion of Delay-Dependent Asymptotic Stability for Hopfield Neural Networks With Time Delay
IEEE Transactions on Neural Networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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This study examines the state estimation problem for neural networks with a time-varying delay. Unlike other studies, the sampled-data with stochastic sampling is used to design the state estimator using a novel approach that divides the bounding of the activation function into two subintervals. To fully use the sawtooth structure characteristics of the sampling input delay, a discontinuous Lyapunov functional is proposed based on the extended Wirtinger inequality. The desired estimator gain can be characterized in terms of the solution to linear matrix inequalities (LMIs). Finally, the proposed method is applied to two numerical examples to show the effectiveness of our result.