Modelling and Estimation Methods for Discrete Multi-Dimensional Systems

Grant number: DP0986577 | Funding period: 2009 - 2012

Completed

Abstract

Multi-dimensional signal processing plays a role in a variety of application areas, ranging from remote sensing for environmental monitoring and geological mapping, to medical imaging and the automatic control of industrial processes. The success of the project will provide mathematical tools for the advancement of the state-of-the-art in these broad areas.

Related publications (9)

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Geometric techniques for implicit two-dimensional systems

L Ntogramatzidis, M Cantoni

2013-12-01

Geometric tools are developed for two-dimensional (2-D) models in an implicit Fornasini-Marchesini form. In particular, the struct..

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Detectability subspaces and observer synthesis for two-dimensional systems

L Ntogramatzidis, M Cantoni

2012-06-01

The notions of input-containing and detectability subspaces are developed within the context of observer synthesis for two-dimensi..

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Structural invariants of implicit two-dimensional systems

L Ntogramatzidis, M Cantoni

2011-12-13

Fundamental structural properties are identified for a class of implicit two-dimensional (2-D) system models with a form that is c..

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Nonundershooting linear multivariable tracking controllers

R Schmid, L Ntogramatzidis

2011-01-01

We consider the use of linear multivariable state feedback control to achieve a nonundershooting step response. The recently intro..

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Controlled and conditioned invariance with stability for two-dimensional systems

L Ntogramatzidis, M Cantoni, R Yang

2009-11-18

This paper collects, in a unified way, some recent results on a geometric approach to two-dimensional (2-D) system analysis and sy..

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On kalman filtering for 2-D fornasini-marchesini models

R Yang, L Ntogramatzidis, M Cantoni

2009-11-18

This paper deals with the problem of signal estimation for two-dimensional systems. More specifically, we propose a Kalman filter ..

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LQ optimal control for 2D Roesser models of finite extent

L Ntogramatzidis, M Cantoni

2009-07-01

This paper investigates several aspects of linear-quadratic (LQ) optimal control for Roesser models over a two-dimensional (2D) si..

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Asymptotic quotient observers for 2-D Fornasini Marchesini models

Lorenzo Ntogramatzidis, Michael Cantoni

2009-06-01

The concepts of conditioned-invariant, detectability and input-containing subspaces are developed within the context of observer d..

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On the realization of 2-D linear systems with recursively computable latent variable models

R Yang, L Ntogramatzidis, M Cantoni

2009-01-01

In this paper, a new latent variable model is proposed for the realization of 2-D single-input-single-output linear causal systems..

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