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Solution to High-order Generalized Sylvester Matrix Equations | IEEE Conference Publication | IEEE Xplore

Solution to High-order Generalized Sylvester Matrix Equations


Abstract:

This paper provides a complete general parametric solution (V,W) to the high-order generalized Sylvester matrix equation ∑i=0mAiVFi=BW, with F being an arbitrary square m...Show More

Abstract:

This paper provides a complete general parametric solution (V,W) to the high-order generalized Sylvester matrix equation ∑i=0mAiVFi=BW, with F being an arbitrary square matrix. The primary feature of this solution is that the matrix F does not need to be in any canonical form, or may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems involving high-order dynamical systems.
Date of Conference: 15-15 December 2005
Date Added to IEEE Xplore: 30 January 2006
Print ISBN:0-7803-9567-0
Print ISSN: 0191-2216
Conference Location: Seville, Spain

References

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