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From Zhang Neural Network to Newton Iteration for Matrix Inversion
IEEE Transactions on Circuits and Systems I: Regular Papers, 2009 Different from gradient-based neural networks, a special kind of recurrent neural network (RNN) has recently been proposed by Zhang for online matrix inversion. Such an RNN is designed based on a matrix-valued error function instead of a scalar-valued error function.
Binghuang Cai, Yunong Zhang, Weimu Ma
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Zhang Neural Network Versus Gradient Neural Network for Solving Time-Varying Linear Inequalities
IEEE Transactions on Neural Networks, 2011By following Zhang design method, a new type of recurrent neural network [i.e., Zhang neural network (ZNN)] is presented, investigated, and analyzed for online solution of time-varying linear inequalities. Theoretical analysis is given on convergence properties of the proposed ZNN model.
Yunong Zhang, Lin Xiao
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Neurocomputing, 2011
A type of recurrent neural networks called Zhang neural network (ZNN) is presented and investigated to provide an online solution to the time-varying linear matrix equation, A(t)X(t)B(t)+X(t)=C(t) by using a novel design method. In contrast to the gradient-based neural network (GNN), the novel design of ZNN is based on a matrix-valued indefinite error ...
Yunong Zhang, Chenfu Yi
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A type of recurrent neural networks called Zhang neural network (ZNN) is presented and investigated to provide an online solution to the time-varying linear matrix equation, A(t)X(t)B(t)+X(t)=C(t) by using a novel design method. In contrast to the gradient-based neural network (GNN), the novel design of ZNN is based on a matrix-valued indefinite error ...
Yunong Zhang, Chenfu Yi
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A Convergence-Accelerated Zhang Neural Network and Its Solution Application to Lyapunov Equation
Neurocomputing, 2016Lyapunov equation is widely encountered in scientific and engineering fields, and especially used in the control community to analyze the stability of a control system. In this paper, a convergence-accelerated Zhang neural network (CAZNN) is proposed and investigated for solving online Lyapunov equation.
Bolin Liao, Lin Xiao
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Novel Discrete-Time Zhang Neural Network for Time-Varying Matrix Inversion
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017In the previous work, Zhang et al. developed a special type of recurrent neural networks called Zhang neural network (ZNN) with continuous-time and discrete-time forms for time-varying matrix inversion. In this paper, a novel discrete-time ZNN (DTZNN) model for time-varying matrix inversion is proposed and investigated.
Dongsheng Guo +2 more
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Computing Time-Varying ML-Weighted Pseudoinverse by the Zhang Neural Networks
Numerical Functional Analysis and Optimization, 2020The Zhang neural network (ZNN), a recurrent neural network, proposed in 2001, is particularly effective in solving time-varying problems.
Yimin Wei
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