Lyapunov-Like Techniques for Stochastic Stability
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Stochastic nonlinear stabilization—I: a backstepping design
Systems & Control Letters
Stochastic nonlinear stabilization—II: inverse optimality
Systems & Control Letters
Adaptive Output-Feedback Stochastic Nonlinear Stabilization Using Neural Network
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Brief paper: Novel adaptive neural control design for nonlinear MIMO time-delay systems
Automatica (Journal of IFAC)
Brief paper: Direct adaptive fuzzy control of nonlinear strict-feedback systems
Automatica (Journal of IFAC)
Direct adaptive fuzzy control for nonlinear systems with time-varying delays
Information Sciences: an International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Robust adaptive control of nonlinear systems with unknown time delays
Automatica (Journal of IFAC)
IEEE Transactions on Neural Networks
Adaptive Synchronization Between Two Different Chaotic Neural Networks With Time Delay
IEEE Transactions on Neural Networks
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This paper addresses the problem of adaptive neural control for a class of uncertain stochastic nonlinear strict-feedback systems with time-varying delays. A novel adaptive neural control scheme is presented for this class of systems, based on a combination of the Razumikhin functional approach, the backstepping technique and the neural network (NN) parameterization. The proposed adaptive controller guarantee that all the error variables are 4-Moment semi-globally uniformly ultimately bounded in a compact set while the system output converges to a small neighborhood of the reference signal. Two simulation examples are given to demonstrate the effectiveness of the proposed control schemes.