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# Spectral structures of the generalized companion form and applications

preprint
posted on 22.02.2006, 15:45 by Ashley Clive Pugh, L. Tan
In this note, we investigate the relationship between the finite and infinite frequency structure of a regular polynomial matrix and that of a particular linearization, called the generalised companion matrix. A special resolvent decomposition of the regular polynomial matrix is proposed which is based on the Weierstrass canonical form of this generalised companion matrix and the solution of a regular PMD is thus formulated from this resolvent decomposition. Both the initial conditions of the pseudo state and the input are considered.

• Science

## Department

• Mathematical Sciences

135524 bytes

1999

## Notes

This is a pre-print. The definitive version: PUGH, A.C. and TAN, L., 2002. Spectral structures of the generalized companion form and applications. Systems and Control Letters, 46(2), pp. 75-84.

en