Closed form solutions of the Sylvester and the Lyapunov equations - closed form Gramians | IEEE Conference Publication | IEEE Xplore

Closed form solutions of the Sylvester and the Lyapunov equations - closed form Gramians


Abstract:

In this paper, closed form expressions of linear MIMO system responses are used to express the solution of the Sylvester equation in closed form. The solution makes use o...Show More

Abstract:

In this paper, closed form expressions of linear MIMO system responses are used to express the solution of the Sylvester equation in closed form. The solution makes use of matrix polynomial formulations of etA. The solutions to the input and the output Lyapunov equations, i.e. the input and the output Gramians, are then presented as a special case. From these the Hankel singular values can be computed. The final expressions are presented in a form that emphasizes efficient computational implementation and the resulting time complexity.
Date of Conference: 11-13 June 2008
Date Added to IEEE Xplore: 05 August 2008
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Conference Location: Seattle, WA, USA

References

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