Multidimensional BIBO stability and Jury's conjecture

DOI10.1007/s00498-007-0023-7zbMath1142.93030OpenAlexW2046546583WikidataQ122944797 ScholiaQ122944797MaRDI QIDQ926290

Martin Scheicher, Ulrich Oberst

Publication date: 27 May 2008

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-007-0023-7

zbMATH Keywords

BIBO stabilityFundamental solutionImpulse responseJury's conjectureMultidimensional input/output system

Mathematics Subject Classification ID

Related Items (9)

Proper stabilisation of multidimensional input/output behaviours ⋮ Stochastic stability of some classes of nonlinear 2D systems ⋮ Robustly stable multivariate polynomials ⋮ On the stability and the stabilization of linear discrete repetitive processes ⋮ New tests for the stability of 3D Roesser models ⋮ Structural stabilization of linear 2D discrete systems using equivalence transformations ⋮ Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly ⋮ The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors ⋮ A generalisation of Jury's conjecture to arbitrary dimensions and its proof

Cites Work

• Multidimensional constant linear systems
• A lattice approach to analysis and synthesis problems
• Robust stability of multivariate polynomials. I: Small coefficient perturbations
• BIBO stability of \(d\)-dimensional filters
• Output feedback stabilization and related problems-solution via decision methods
• Stability and Stabilization of Multidimensional Input/Output Systems
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