## Zhang Neural Network for Linear Time-Varying Equation Solving and its Robotic Application

- Yu-Nong Zhang, Hai-Feng Peng
- 2007 International Conference on Machine Learningâ€¦
- 2007

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@article{Zhang2002ARN, title={A recurrent neural network for solving Sylvester equation with time-varying coefficients}, author={Yunong Zhang and Danchi Jiang and Jun Wang}, journal={IEEE transactions on neural networks}, year={2002}, volume={13 5}, pages={1053-63} }

- Published 2002 in IEEE Trans. Neural Networks
DOI:10.1109/TNN.2002.1031938

Presents a recurrent neural network for solving the Sylvester equation with time-varying coefficient matrices. The recurrent neural network with implicit dynamics is deliberately developed in the way that its trajectory is guaranteed to converge exponentially to the time-varying solution of a given Sylvester equation. Theoretical results of convergence and sensitivity analysis are presented to show the desirable properties of the recurrent neural network. Simulation results of time-varyingâ€¦Â CONTINUE READING

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