Symmetric systems with semi-simple structure algebra: The quaternionic case

DOI10.1016/0167-6911(83)90055-5zbMath0521.93016OpenAlexW1963742869MaRDI QIDQ1055732

J. Blot

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/10601

zbMATH Keywords

quaternionssemi-simple algebrasreal symmetric linear systemsstate space feedback

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic methods (93B25) Simple, semisimple Jordan algebras (17C20)

Related Items (12)

Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮ Cross-directional control of sheet and film processes ⋮ Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions ⋮ Schur functions and their realizations in the slice hyperholomorphic setting ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ Krein-Langer factorization and related topics in the slice hyperholomorphic setting ⋮ Controllability and completion of partial upper triangular matrices over rings ⋮ Pole shifting for matrices over real algebras ⋮ Algebraic tools for the study of quaternionic behavioral systems ⋮ Essential S-spectrum for quaternionic quasi-compact operators on right quaternionic Hilbert spaces ⋮ Interconnections and symmetries of linear differential systems ⋮ A study on quaternion block quasi-tridiagonal systems

Cites Work

• Geometric state-space theory in linear multivariable control: A status report
• Symmetric linear systems: an application of algebraic systems theory
• Linear decentralized systems with special structure†
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