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

@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}
}
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
Highly Cited
This paper has 338 citations. REVIEW CITATIONS
123 Citations
20 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 123 extracted citations

338 Citations

0204060'07'10'13'16
Citations per Year
Semantic Scholar estimates that this publication has 338 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Complex recurrent neural network for computing the inverse and pseudo-inverse of the complex matrix

  • J. Song, Y. Yam
  • Appl. Math. Comput. , vol. 93, pp. 195–205, 1998…
  • 1998

Recurrent neural networks for synthesizing linear control systems via pole assignment

  • J. Wang, G. Wu
  • Int. J. Syst. Sci. , vol. 26, no. 12, pp. 2369…
  • 1995
1 Excerpt

A recurrent neural network for real-time matrix inversion

  • Appl. Math. Comput. , vol. 55, pp. 89–100, 1993.
  • 1993
1 Excerpt

An approximation method for the nonlinear servomechanism problem

  • J. Huang, W. J. Rugh
  • IEEE Trans. Automat. Contr. , vol. 37, pp. 1395…
  • 1992
1 Excerpt

Similar Papers

Loading similar papers…