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2009 International Workshop on Multidimensional (nD) Systems最新文献

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A white noise approach to linear stochastic systems 线性随机系统的白噪声方法
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196092
D. Alpay, David Levanony
{"title":"A white noise approach to linear stochastic systems","authors":"D. Alpay, David Levanony","doi":"10.1109/NDS.2009.5196092","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196092","url":null,"abstract":"We present a new approach to study linear stochastic systems, where randomness is also included in the transfer function. We use the white noise setting, and the systems input-output relation is given in terms of two convolutions. The Hermite transform allows to describe the results in terms of functions analytic in a countable number of variables.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121908638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polmat library now within Symbolic Math Toolbox for Matlab in multidimensional systems computations 符号数学工具箱中的Polmat库现在用于Matlab中的多维系统计算
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5191494
P. Augusta, Z. Hurák
{"title":"Polmat library now within Symbolic Math Toolbox for Matlab in multidimensional systems computations","authors":"P. Augusta, Z. Hurák","doi":"10.1109/NDS.2009.5191494","DOIUrl":"https://doi.org/10.1109/NDS.2009.5191494","url":null,"abstract":"This paper demonstrates convenient use of freely available Polmat library for computations with transfer function models of multidimensional systems within Matlab environment. Polmat functions rely on MuPAD, a computer algebra system, which has become the core engine for symbolic computations in Matlab. Basic manipulations with multivariate two-sided polynomials are illustrated, test of stability of spatially distributed systems and solution of linear (Diophantine) equations with multivariate polynomials are demonstrated by means of a few examples.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130837467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Dynamic programming for 2D discrete nonlinear systems 二维离散非线性系统的动态规划
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5192003
M. Dymkov, K. Gałkowski, E. Rogers
{"title":"Dynamic programming for 2D discrete nonlinear systems","authors":"M. Dymkov, K. Gałkowski, E. Rogers","doi":"10.1109/NDS.2009.5192003","DOIUrl":"https://doi.org/10.1109/NDS.2009.5192003","url":null,"abstract":"In this paper the dynamic programming approach is generalized to 2D discrete nonlinear systems. In particular, a generalized Bellman function is introduced and then to develop necessary and sufficient optimality conditions for a nonlinear optimization problem associated with the systems considered. Finally, with a view to application to examples, an alternative to this function is developed which gives more computationally tractable necessary conditions for optimality.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133605071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Controlled and conditioned invariance with stability for two-dimensional systems 二维系统的稳定控制和条件不变性
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196170
L. Ntogramatzidis, M. Cantoni, Ran Yang
{"title":"Controlled and conditioned invariance with stability for two-dimensional systems","authors":"L. Ntogramatzidis, M. Cantoni, Ran Yang","doi":"10.1109/NDS.2009.5196170","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196170","url":null,"abstract":"This paper collects, in a unified way, some recent results on a geometric approach to two-dimensional (2-D) system analysis and synthesis. The concepts of controlled and conditioned invariant subspaces, stabilisability and detectability subspaces, and output-nulling and input-containing subspaces, which prove useful in solving various 2-D filtering and decoupling problems, are developed for the Fornasini-Marchesini model in a general form.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"185 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122364956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On some nonlinear second order control systems 一类非线性二阶控制系统
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196139
D. Bors, S. Walczak
{"title":"On some nonlinear second order control systems","authors":"D. Bors, S. Walczak","doi":"10.1109/NDS.2009.5196139","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196139","url":null,"abstract":"In this paper, we consider control systems governed by second order differential equations. Sufficient conditions for the existence of solutions and the corresponding stability criteria are proved. Moreover, conditions for the existence of optimal processes are presented. The systems under investigation have natural technical and physical interpretation. The method and results of the paper may be generalised to the continuous 2D systems.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125420678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Subspace approach to identification of linear repetitive processes 线性重复过程识别的子空间方法
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196182
A. Janczak, D. Kujawa
{"title":"Subspace approach to identification of linear repetitive processes","authors":"A. Janczak, D. Kujawa","doi":"10.1109/NDS.2009.5196182","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196182","url":null,"abstract":"The aim of this paper is to propose a new approach to the identification of the LRPs based on subspace algorithms. The order of a LRP and the unknown process matrices are determined based on the input and output sequences of the actual pass and the output sequence of the previous pass. The proposed approach can be very useful not only for time invariant LRPs but also for processes with slowly evolving dynamics or processes which dynamics changes rapidly from pass to pass. Simulation examples are provided to illustrate the effectiveness of the proposed approach.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125593786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Implicit discretization of linear partial differential equations and repetitive processes 线性偏微分方程和重复过程的隐式离散化
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196181
R. Rabenstein, P. Steffen
{"title":"Implicit discretization of linear partial differential equations and repetitive processes","authors":"R. Rabenstein, P. Steffen","doi":"10.1109/NDS.2009.5196181","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196181","url":null,"abstract":"Implicit schemes are a popular approach to the discretization of linear partial differential equations by finite differences. They require to solve a linear set of equations in each time step. Since finite difference discretizations lead to a local coupling, these systems of equations are sparse and can be effectively solved by iterative procedures. Numerical procedures of this type are known in control theory as repetitive processes. They have mostly been used to describe control algorithms for processes where passes of finite length are repeated over and over. This contribution shows how the implicit discretization of partial differential equations can be cast into the framework of repetitive processes. Thus it establishes a link between yet unrelated results in numerical mathematics and control theory.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133971668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
On generalized separation and the speedup of local operators on multi-dimensional signals 多维信号上局部算子的广义分离与加速
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5192167
Sebastian Pfeiffer, Michael Mai, Wolfgang Globke, Jan-P. Calliess
{"title":"On generalized separation and the speedup of local operators on multi-dimensional signals","authors":"Sebastian Pfeiffer, Michael Mai, Wolfgang Globke, Jan-P. Calliess","doi":"10.1109/NDS.2009.5192167","DOIUrl":"https://doi.org/10.1109/NDS.2009.5192167","url":null,"abstract":"Along with the boom of computer vision- and other signal processing-based applications, the question of fast local operator application has become increasingly important over the past decade. For two-dimensional signals, such as images, local operator separation has proven to ameliorate the computational effort incurred by prominent operators such as mean filter, binomial filter or Sobel filter [1]. However, many modern days' applications involve higher-dimensional input signals including tomography, functional magnetic resonance imaging (fMRI), selective plane illumination microscopy (SPIM), confocal laser scanning microscopy (CLSM), special image fusion.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114174127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Rational functions in noncommutating variables, their realizations, and applications to Linear Matrix inequalities 非对易变量中的有理函数及其实现，以及在线性矩阵不等式中的应用
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196046
V. Vinnikov
{"title":"Rational functions in noncommutating variables, their realizations, and applications to Linear Matrix inequalities","authors":"V. Vinnikov","doi":"10.1109/NDS.2009.5196046","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196046","url":null,"abstract":"We survey some of the theory and applications of noncommutative rational functions.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116725547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Empirical Mode Decomposition for vectorial bi-dimensional signals 矢量二维信号的经验模态分解
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5191553
Nourddine Azzaoui, A. Miraoui, H. Snoussi, J. Duchêne
{"title":"Empirical Mode Decomposition for vectorial bi-dimensional signals","authors":"Nourddine Azzaoui, A. Miraoui, H. Snoussi, J. Duchêne","doi":"10.1109/NDS.2009.5191553","DOIUrl":"https://doi.org/10.1109/NDS.2009.5191553","url":null,"abstract":"In this work, an Empirical Mode Decomposition (EMD) of bivariate signals is proposed. It permits to decompose signals into elementary rotating functions, oscillating functions and tendencies. The technique is based on recursive extraction of non planar and rapidly rotating functions, and then a recursive extraction of rapidly oscillating functions as in case of univariate EMD. Our concept is based on a theoretical decomposition and is confirmed on simulated signals.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124554692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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