Canonical computational forms for AR 2-D systems
Multidimensional Systems and Signal Processing
Two-sided equations and skew primeness for n-D polynomial matrices
Systems & Control Letters
Bilateral polynomial matrix equations in two indeterminates
Multidimensional Systems and Signal Processing
A 2-D systems approach to river pollution modelling
Multidimensional Systems and Signal Processing
State space realization of 2-D finite-dimensional behaviours
SIAM Journal on Control and Optimization
nD Polynomial Matrices with Applications to MultidimensionalSignal Analysis
Multidimensional Systems and Signal Processing
Introduction to mathematical systems theory: a behavioral approach
Introduction to mathematical systems theory: a behavioral approach
Multidimensional Systems with Finite Support Behaviors: Signal Structure, Generation, and Detection
SIAM Journal on Control and Optimization
Controllable and Autonomous nD Linear Systems
Multidimensional Systems and Signal Processing
SIAM Journal on Control and Optimization
On the Decomposition of Two-Dimensional Behaviors
Multidimensional Systems and Signal Processing - Recent progress in multidimensional control theory and applications
Multidimensional Systems and Signal Processing
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In this paper, the following problem is addressed: given a two-dimensional complete behavior$${\cal B}$$ and one of its sub-behaviors$${\cal B}_B$$, under what conditions a third complete behavior$${\cal B}_A$$ can be found, such that$${\cal B} = {\cal B}_A + {\cal B}_B$$ and$${\cal B}_A \cap {\cal B}_B$$ is finite-dimensional autonomous? This constitutes a complete generalization of the decomposition theorem, as it represents a decomposition with "minimal intersection", in which one of the two terms has been a priori fixed. The analysis carried on here completes the preliminary results reported in [Bisiacco and Valcher, Multidimensional Systems and Signal Processing, vol. 13,2002, pp. 289--315]. and completely generalizes the direct sum decomposition problem presented in [Bisiacco and Valcher, IEEE Transactions on Circuits and Systems Part I, CAS-I-48, no-4, 2001, pp. 490--494].