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State-Space Minimal Realizations and Latent Structures of Column-Reduced and Nonsingular Polynomial Matrices |
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| Authors: | TSAY, YIH T. SHIEH, LEANG S. BARNETT, S. |
| Affiliation: | Department of Computer Science, University of Houston Houston, TX 77004, U.S.A. Department of Electrical Engineering, University of Houston Houston, TX 77004, U.S.A. School of Mathematical Sciences, University of Bradford Bradford, West Yorkshire BD7 1DP, UK |
| Abstract: | The concept of a column-reduced polynomial matrix is an importantone in the theory of linear systems. The theory of Jordan chainsand minimal realizations is developed for such matrices. Also,the relationships between generalized latent vectors of thenonsingular polynomial matrix and their associated generalizedeigenvectors of the system map are explored in this paper. Thispermits the spectral analysis of an arbitrary nonsingular polynomialmatrix, extending previous work for the monic case. |
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