## A convergence-enhanced gradient neural network for solving Sylvester equation

- Lin Xiao, Bolin Liao, Jiawei Luo, Lei Ding
- 2017 36th Chinese Control Conference (CCC)
- 2017

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@article{Darouach2006SolutionTS, title={Solution to Sylvester equation associated to linear descriptor systems}, author={Mohamed Darouach}, journal={Systems & Control Letters}, year={2006}, volume={55}, pages={835-838} }

- Published 2006 in Systems & Control Letters
DOI:10.1016/j.sysconle.2006.04.004

This paper presents the solution of the constrained Sylvester equation associated to linear descriptor systems. This problem has been recently studied in [1], where sufficient conditions for the existence of the solution are given. In the present paper, a simple and direct method is developed to solve this problem. This method shows that the conditions given in [1] are necessary and sufficient.

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