Conservative input-state-output systems with evolution on a multidimensional integer lattice

DOI10.1007/s11045-005-6861-xzbMath1219.93065OpenAlexW2086762960MaRDI QIDQ813012

Cora Sadosky, Victor Vinnikov, Joseph A. Ball

Publication date: 30 January 2006

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-005-6861-x

zbMATH Keywords

conservative multidimensional discrete-time systemenergy balance relationinitial value problem boundary condition at infinityshift-invariant sublattice

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55)

Related Items (6)

Triangular representation of Fornasini-Marchesini systems ⋮ Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮ Multivariable backward-shift-invariant subspaces and observability operators ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings ⋮ Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces

Cites Work

• Multidimensional constant linear systems
• Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
• Transfer operators and state spaces for discrete multidimensional linear systems
• The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the complete \(r\)-dimensional integral lattice \(\mathbb{Z}^ r\)
• Discrete time systems, operator models, and scattering theory
• Multiparametric dissipative linear stationary dynamical scattering systems: Discrete case. II: Existence of conservative dilations
• Scattering systems with several evolutions and multidimensional input/state/output systems
• Dissipative dynamical systems. I: General theory
• Doubly-indexed dynamical systems: State-space models and structural properties
• Equivalence of n-dimensional Roesser and Fornasini-Marchesini models
• On unitary couplings of semiunitary operators
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