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Stability radii of discrete-time stochastic systems with respect to blockdiagonal perturbations
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UNSPECIFIED (2000) Stability radii of discrete-time stochastic systems with respect to blockdiagonal perturbations. AUTOMATICA, 36 (7). pp. 1033-1040. ISSN 0005-1098.
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Abstract
We consider stochastic discrete-time systems with multiplicative noise which are controlled by dynamic output feedback and subjected to blockdiagonal stochastic parameter perturbations. Stability radii for these systems are characterized via scaling techniques and it is shown that for real data, the real and the complex stability radii coincide. In a second part of the paper we investigate the problem of maximizing the stability radii by dynamic output feedback. Necessary and sufficient conditions are derived for the existence of a stabilizing compensator which ensures that the stability radius is above a prespecified level. These conditions consist of parametrized matrix inequalities and a coupling condition. (C) 2000 Elsevier Science Ltd. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TK Electrical engineering. Electronics Nuclear engineering |
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Journal or Publication Title: | AUTOMATICA | ||||
Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | ||||
ISSN: | 0005-1098 | ||||
Official Date: | July 2000 | ||||
Dates: |
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Volume: | 36 | ||||
Number: | 7 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 1033-1040 | ||||
Publication Status: | Published |
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