Stabilizability of linear systems defined overC *-algebras

DOI10.1007/BF01699471zbMath0595.46057MaRDI QIDQ3726810

John W. Bunce

Publication date: 1985

Published in: Mathematical Systems Theory (Search for Journal in Brave)

zbMATH Keywords

irreducible representation\(C^*\)- algebrastabilizability of linear systems defined over \(C^*\)-algebrasstrongly reachable

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (7)

Inertia and controllability in infinite dimensions ⋮ Localized Stability Certificates for Spatially Distributed Systems over Sparse Proximity Graphs ⋮ Decay properties for functions of matrices over \(C^\ast\)-algebras ⋮ Analytic and algebraic properties of Riccati equations: a survey ⋮ The Riccati algebraic equation in a locally \(C^*\)-algebra ⋮ An alternate variational characterization of matrix Riccati equation solutions ⋮ Sparsity and Spatial Localization Measures for Spatially Distributed Systems

Cites Work

• Homomorphisms of C* algebras to finite AW* algebras
• On operator ranges
• Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems
• Time-varying systems and crossed products
• On the Control of Certain Deterministic, Infinite-Dimensional by Algebro-Geometric Techniques
• On weak and strong reachability and controllability of infinite- dimensional linear systems
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