Behavior decompositions and two-sided diophantine equations

DOI10.1016/S0005-1098(01)00079-6zbMath0991.93026OpenAlexW2024563819MaRDI QIDQ5947648

Mauro Bisiacco, Valcher, Maria Elena

Publication date: 1 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00079-6

zbMATH Keywords

polynomial matricesbehaviorkernel representationdirect sum decompositiongreatest right divisorsinternally skew-primeminimal intersection decompositiontwo-sided diophantine equation

Mathematics Subject Classification ID

Controllability (93B05) Algebraic methods (93B25)

Related Items (10)

The consensus problem in the behavioral approach ⋮ Tracking and regulation in the behavioral framework ⋮ Equivalence conditions for behaviors and the Kronecker canonical form ⋮ Driving variable realizations and the non-negative realization problem for controllable behaviours ⋮ Autonomous subbehaviours and output nulling subspaces ⋮ A state-space solution of bilateral Diophantine equations over \({\mathcal {RH}}_\infty\) ⋮ On duality in some problems of geometric control ⋮ On behavior homomorphisms and system equivalence ⋮ A study of behaviors ⋮ Autonomous behaviours decomposition and modal analysis

Cites Work

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• Skew-prime polynomial matrices: The polynomial-model approach
• Functional analysis in modern applied mathematics
• Fast projection methods for minimal design problems in linear system theory
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• On deadbeat controllers
• Skew prime polynomial matrices
• The Equations AX - YB = C and AX - XB = C in Matrices

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