Repetitive, or multipass, processes are a class of 2D systems of both practical and algorithmic/theoretical interest whose dynamics cannot be analysed or controlled using standard (1D) systems theory. Recently it has ...
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Repetitive, or multipass, processes are a class of 2D systems of both practical and algorithmic/theoretical interest whose dynamics cannot be analysed or controlled using standard (1D) systems theory. Recently it has been shown that the modelling of the boundary conditions, also known as the process initial conditions, is a crucial feature in the analysis and control of these processes. This paper presents some further results on the effects of so-called 'dynamic' process initial conditions on the controllability and stability properties of discrete linear repetitive processes. Previous work has shown that these dynamic process initial conditions alone can destroy the stability properties of these processes. Hence their effects must be 'adequately' accounted for the process modelling stage in order to ensure that subsequent analysis does not lead to incorrect results/conclusions. The main results developed in this paper can be summarised as follows. (i) Computationally efficient stability tests which can, in effect, be applied using standard, or 1D, linear systems tests. (ii) Characterisation of so-called pass controllability in the form of matrix rank based conditions. (iii) Conditions under which the dynamic process initial conditions can be selected to ensure stability and pass controllability.
Matching confidence is an important element for evaluating image matching quality. A method is presented which uses the technique of tests of hypotheses to determine image matching confidence under a certain testing l...
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ISBN:
(纸本)0780340531
Matching confidence is an important element for evaluating image matching quality. A method is presented which uses the technique of tests of hypotheses to determine image matching confidence under a certain testing level. The authors use similarity measurement values to be the statistics. Experimental results with large real images prove the effectiveness of the method to determine image matching confidence.
Computing the trajectories generated by an arbitrary system or process is extremely important for its analysis, especially for control and stability investigations. This paper analyses the fundamental matrix sequence ...
Computing the trajectories generated by an arbitrary system or process is extremely important for its analysis, especially for control and stability investigations. This paper analyses the fundamental matrix sequence (a discrete counterpart of the transition matrix in the continous case) for a linear unit memory repetitive process. The main result refers to the representation of the repetitive process in terms of the general singular Kurek model.
This paper develops new 2D systems state space models for discrete linear repetitive processes. The overall aim is to use these models and well established 2D systems theory to address basic systems theoretic question...
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This paper develops new 2D systems state space models for discrete linear repetitive processes. The overall aim is to use these models and well established 2D systems theory to address basic systems theoretic questions for this subclass of repetitive processes. To this end, it is shown that the stability theories are equivalent and a state transition matrix is developed and used to present some basic results on reachability. Cet article developpe une nouvelle classe de modeles des processus lineaires, discrets et repetitifs. L'objectif est du'utiliser conjointement ces modeles et la theorie classique des systemes 2D afin der examiner, pour cette classe de systemes repetitifs, des notions de base la theorie des systemes. A cette fin, il est montreque les theories de la stabili te sont equivalentes. Une matrice de transition est definie, qui nous permet de presenter quelques resultats de base concemant latteignab ilite.
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