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This paper presents a k-winners-take-all (kWTA) neural network with a single state variable and a hard-limiting activation function. First, following several kWTA problem formulations, related existing kWTA networks are reviewed. Then, the kWTA model model with a single state variable and a Heaviside step activation function is described and its global stability and finite-time convergence are proven...
Optimization problems arise in a wide variety of scientific and engineering applications. It is computationally challenging when optimization procedures have to be performed in real time to optimize the performance of dynamical systems. For such applications, classical optimization techniques may not be competent due to the problem dimensionality and stringent requirement on computational time. One...
This paper presents a one-layer recurrent neural network with a unipolar hard-limiting activation function for k-winners-take-all (kWTA) operation. The kWTA operation is first converted into an equivalent quadratic programming problem. Then a one-layer recurrent neural network is constructed. The neural network is guaranteed to be capable of performing the kWTA operation in real time. The stability...
This paper proposes a dynamic recurrent fuzzy wavelet network (DRFWN) for identified nonlinear dynamic systems. Temporary relations are embedded in the network by adding feedback connections in the second layer of the fuzzy wavelet network. In addition, the study algorithm of the DRFWN is introduced and its stability analysis is studied. Finally, the DRFWN is applied in several simulations. The results...
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