A recurrent neural network for solving Sylvester equation with time-varying coefficients

  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},
  volume={13 5},
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-varying… CONTINUE READING
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