On systems described by the companion matrix
- 1 December 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 15 (6), 692-693
- https://doi.org/10.1109/tac.1970.1099611
Abstract
It is shown that general properties of analytical functions of a system matrix (including the transition matrix) follow naturally from consideration of the resolvent matrix and the Cauchy-integral formula. Previously published results are extended to cover arbitrary analytical functions and allow for multiple eigenvulues.Keywords
This publication has 4 references indexed in Scilit:
- A recursive method for determining the Laplace transform of exp (At)IEEE Transactions on Automatic Control, 1970
- Evaluation of an analytical function of a companion matrix with distinct eigenvaluesProceedings of the IEEE, 1969
- A note on the "Evaluation of an analytical function of a companion matrix with distinct eigenvalues"Proceedings of the IEEE, 1969
- Evaluation of transient responseProceedings of the IEEE, 1966