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ROBUST EXPONENTIAL STABILITY OF TIME-VARYING LINEAR-SYSTEMS
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UNSPECIFIED (1993) ROBUST EXPONENTIAL STABILITY OF TIME-VARYING LINEAR-SYSTEMS. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 3 (1). pp. 63-83. ISSN 1049-8923.
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Abstract
This paper investigates the robustness of time-varying linear systems under a large class of complex time-varying perturbations. Previous results8 which were restricted to bounded linear perturbations of output feedback type are generalized to unbounded and nonlinear perturbations of multi-output feedback type. We establish a lower bound for the stability radius of these systems and show how it may be possible to improve the bound using time-varying scalar transformations of the state, input and output variables. The results are applied to derive Gershgorin type stability criteria for time-varying linear systems.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TK Electrical engineering. Electronics Nuclear engineering Q Science > QA Mathematics |
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Journal or Publication Title: | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | ||||
Publisher: | JOHN WILEY & SONS LTD | ||||
ISSN: | 1049-8923 | ||||
Official Date: | May 1993 | ||||
Dates: |
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Volume: | 3 | ||||
Number: | 1 | ||||
Number of Pages: | 21 | ||||
Page Range: | pp. 63-83 | ||||
Publication Status: | Published |
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