A Behavioral Approach to the Pole Structure of One-Dimensional and Multidimensional Linear Systems

DOI10.1137/S036301299733213XzbMath0979.93019MaRDI QIDQ4943738

David H. Owens, Ulrich Oberst, Jeffrey Wood, Eric Rogers

Publication date: 19 March 2000

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

linear systemsintegral representationassociated primesmultidimensional systemscharacteristic varietybehavioral approachminimal realizationsprimary decompositionpolepolynomial exponential functiondecoupling zeroinput-decoupling zeroscomplete classification of polesexponential trajectorygeneralized factor primenessminimal left annihilatorsnD behaviorsobservable poleszero-input behavior

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Minimal systems representations (93B20) Algebraic methods (93B25) Torsion modules and ideals in commutative rings (13C12)

Related Items (16)

The computation of purity filtrations over commutative Noetherian rings of operators and their application to behaviors ⋮ Linearization of bivariate polynomial matrices expressed in non monomial basis ⋮ Poles and zeros -- examples of the behavioral approach applied to discrete linear repetitive processes ⋮ Strong practical stability and stabilization of differential linear repetitive processes ⋮ A behavioral interpretation of Livšic systems ⋮ A Note on Controlled Invariance for Behavioral nD Systems ⋮ Strong controlled-invariance of behavioural nD systems ⋮ Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades ⋮ Strong practical stability and stabilization of discrete linear repetitive processes ⋮ Almost direct sum decomposition and implementation of 2D behaviors ⋮ Stabilization of discrete 2D behaviors by regular partial interconnection ⋮ Unnamed Item ⋮ On invariant zeros of linear systems of PDEs ⋮ Autonomous multidimensional systems and their implementation by behavioral control ⋮ Zero structures of n-D systems ⋮ The input-output and controllable behavioural structures of a state space representation

This page was built for publication: A Behavioral Approach to the Pole Structure of One-Dimensional and Multidimensional Linear Systems