International Journal of Man-Machine Studies
The nature of statistical learning theory
The nature of statistical learning theory
Robust adaptive control
Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximation Techniques
Adaptive Approximation Based Control: Unifying Neural, Fuzzy and Traditional Adaptive Approximation Approaches (Adaptive and Learning Systems for Signal Processing, Communications and Control Series)
Adaptive estimation of fuzzy cognitive maps with proven stability and parameter convergence
IEEE Transactions on Fuzzy Systems
Deterministic Learning Theory for Identification, Recognition, and Control
Deterministic Learning Theory for Identification, Recognition, and Control
Stable Adaptive Neural Network Control
Stable Adaptive Neural Network Control
Stability and approximator convergence in nonparametric nonlinear adaptive control
IEEE Transactions on Neural Networks
On-line learning of dynamical systems in the presence of model mismatch and disturbances
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Deterministic Learning and Rapid Dynamical Pattern Recognition
IEEE Transactions on Neural Networks
Gaussian networks for direct adaptive control
IEEE Transactions on Neural Networks
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In this paper, a new methodology is proposed for deterministic learning with neural networks. Using an observer that employs the integral of the sign of the error term, asymptotic estimation of the respective nonlinear vector field is achieved. Patchy Neural Networks (PNNs) are introduced to identify the unknown nonlinearity from the observer's output and the state measurements. The proposed scheme achieves learning with a single pass from the respective patches and does not need standard persistency of excitation conditions. Furthermore, the PNN weights are updated algebraically, reducing the computational load of learning significantly. Simulation results for a Duffing oscillator and a fuzzy cognitive network illustrate the effectiveness of the proposed approach.