Some Approaches to Stabilizing Switched Linear Systems with Operation Modes of Different Dynamic Orders

We study the problem of stabilizing multiple-input switched linear systems that may have operation modes of different dynamic orders. To solve this problem, we propose two approaches to constructing a. stabilizing controller based on the dynamic-order extension method and on solving a. system of lin...

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Bibliographic Details
Published in:Differential equations 2019-12, Vol.55 (12), p.1641-1648
Main Authors: Fursov, A. S., Kapalin, I. V.
Format: Article
Language:English
Subjects:
Control Theory
Difference and Functional Equations
Differential equations
Linear matrix inequalities
Linear systems
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:We study the problem of stabilizing multiple-input switched linear systems that may have operation modes of different dynamic orders. To solve this problem, we propose two approaches to constructing a. stabilizing controller based on the dynamic-order extension method and on solving a. system of linear matrix inequalities.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266119120103