Coping with singular transition matrices in estimation and control stability theory

J. B. Moore; B. D. Anderson

doi:10.1080/00207178008961063

Coping with singular transition matrices in estimation and control stability theory

J. B. Moore^*, B. D. Anderson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

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.

Original language	English
Pages (from-to)	571-586
Number of pages	16
Journal	International Journal of Control
Volume	31
Issue number	3
DOIs	https://doi.org/10.1080/00207178008961063
Publication status	Published - Mar 1980
Externally published	Yes

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title = "Coping with singular transition matrices in estimation and control stability theory",

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.",

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AB - 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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JO - International Journal of Control

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Coping with singular transition matrices in estimation and control stability theory

Abstract

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