State for 2-D systems

P Rocha; J.C Willems

doi:10.1016/0024-3795(89)90683-6

State for 2-D systems

P Rocha^*
, J.C Willems

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

31 Citations (Scopus)

Abstract

A new definition of state for N-D systems is given in a noncausal context. This definition is based on a deterministic Markovian-like property. It is shown that, for the particular case of (AR) 2-D systems, it yields systems that can be described by a special kind of first-order equations. The solutions of these equations can be simulated by means of a local line-by-line computational scheme

Original language	English
Pages (from-to)	1003-1038
Number of pages	36
Journal	Linear Algebra and Its Applications
Volume	122
DOIs	https://doi.org/10.1016/0024-3795(89)90683-6
Publication status	Published - 1989

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title = "State for 2-D systems",

abstract = "A new definition of state for N-D systems is given in a noncausal context. This definition is based on a deterministic Markovian-like property. It is shown that, for the particular case of (AR) 2-D systems, it yields systems that can be described by a special kind of first-order equations. The solutions of these equations can be simulated by means of a local line-by-line computational scheme",

author = "P Rocha and J.C Willems",

year = "1989",

doi = "10.1016/0024-3795(89)90683-6",

language = "English",

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journal = "Linear Algebra and Its Applications",

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AU - Rocha, P

AU - Willems, J.C

PY - 1989

Y1 - 1989

N2 - A new definition of state for N-D systems is given in a noncausal context. This definition is based on a deterministic Markovian-like property. It is shown that, for the particular case of (AR) 2-D systems, it yields systems that can be described by a special kind of first-order equations. The solutions of these equations can be simulated by means of a local line-by-line computational scheme

AB - A new definition of state for N-D systems is given in a noncausal context. This definition is based on a deterministic Markovian-like property. It is shown that, for the particular case of (AR) 2-D systems, it yields systems that can be described by a special kind of first-order equations. The solutions of these equations can be simulated by means of a local line-by-line computational scheme

U2 - 10.1016/0024-3795(89)90683-6

DO - 10.1016/0024-3795(89)90683-6

M3 - Article

SN - 0024-3795

VL - 122

SP - 1003

EP - 1038

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

State for 2-D systems

Abstract

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