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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.

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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
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Q Science > QA Mathematics
Journal or Publication Title: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Publisher: JOHN WILEY & SONS LTD
ISSN: 1049-8923
Official Date: May 1993
Dates:
DateEvent
May 1993UNSPECIFIED
Volume: 3
Number: 1
Number of Pages: 21
Page Range: pp. 63-83
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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