The Robust Minkowski-Lyapunov Equation

The Lyapunov equation for polytopic linear inclusions over the space of Minkowski functions of nonempty compact and convex sets that contain the origin as an interior point is studied. In particular, necessary and sufficient conditions for the characterization, existence, and uniqueness of its funda...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2022-07, Vol.67 (7), p.3614-3620
Main Author: Rakovic, Sasa V.
Format: Article
Language:English
Subjects:
Aerospace electronics
Convexity
Dynamical systems
Eigenvalues and eigenfunctions
Inclusions
Indexes
Linear matrix inequalities
Lyapunov methods
Polytopic linear inclusions
robust positive invariance
stability
Stability criteria
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Summary:The Lyapunov equation for polytopic linear inclusions over the space of Minkowski functions of nonempty compact and convex sets that contain the origin as an interior point is studied. In particular, necessary and sufficient conditions for the characterization, existence, and uniqueness of its fundamental solution are derived.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3102472