Complete controllability and contractibility in multimodal systems

DOI10.1016/0024-3795(83)90132-5zbMath0658.93011OpenAlexW2076902367MaRDI QIDQ1111978

George Phillip Barker, Luther T. jun. Conner, David P. Stanford

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90132-5

zbMATH Keywords

contractibilitycomplete controllabilityelliptic normmultimodal systemspositive definite setsweakly monotone norm

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic methods (93B25)

Related Items (3)

A constructive approach to reachability realization of discrete-time switched linear systems ⋮ Joint ranges of Hermitian matrices and simultaneous diagonalization ⋮ Analysis and synthesis of switched linear control systems

Cites Work

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• The structure of the controllable set for multimodal systems
• An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
• State Deadbeat Response and Observability in Multi-Modal Systems
• Applications of the Joint Angular Field of Values
• Matrix Analysis
• Stability for a Multi-Rate Sampled-Data System
• Controllability and Stabilizability in Multi-Pair Systems
• Exact analysis of switched capacitor circuits with arbitrary inputs

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