Coping with singular transition matrices in estimation and control stability theory†
- 1 March 1980
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 31 (3) , 571-586
- https://doi.org/10.1080/00207178008961063
Abstract
When stabilizing linear discrete-time finite dimensional systems in control and estimation either optimally or suboptimally, technical difficulties arise in the conventional stability theories for coping with state transition matrices which are permitted to be singular or with eigenvalues arbitrarily small. In overcoming these difficulties, earlier results for feedback stabilization of linear systems and for Kalman filters and regulators are generalized in this paper, with proofs being in fact more direct than those explored earlier.Keywords
This publication has 1 reference indexed in Scilit:
- An easy way to stabilize a linear constant systemIEEE Transactions on Automatic Control, 1970