Coping with singular transition matrices in estimation and control stability theory†
作者:
J. B. MOORE,
B. D. O. ANDERSON,
期刊:
International Journal of Control
(Taylor Available online 1980)
卷期:
Volume 31,
issue 3
页码: 571-586
ISSN:0020-7179
年代: 1980
DOI:10.1080/00207178008961063
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
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.
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