发布求助
文献互助 智能选刊 最新文献

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

筛选
英文 中文
New robust stability and stabilization conditions for linear repetitive processes 线性重复过程新的鲁棒稳定性和稳定化条件
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196179
W. Paszke, O. Bachelier
{"title":"New robust stability and stabilization conditions for linear repetitive processes","authors":"W. Paszke, O. Bachelier","doi":"10.1109/NDS.2009.5196179","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196179","url":null,"abstract":"This paper focuses on the problem of robust stabilization for differential or discrete linear repetitive processes. The provided conditions allow us to involve parameter dependent Lyapunov functions. An additional flexibility in finding a solution is obtained by introducing slack matrix variables. A simulation example is given to illustrate the theoretical developments.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"9 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":"133375086","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
Insufficiencies of the practical BIBO stability concept with regard to signal processing systems 实际BIBO稳定性概念在信号处理系统中的不足
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5194560
S. Schauland, J. Velten, A. Kummert, K. Gałkowski
{"title":"Insufficiencies of the practical BIBO stability concept with regard to signal processing systems","authors":"S. Schauland, J. Velten, A. Kummert, K. Gałkowski","doi":"10.1109/NDS.2009.5194560","DOIUrl":"https://doi.org/10.1109/NDS.2009.5194560","url":null,"abstract":"In this paper the practical BIBO stability concept introduced by Agathoklis and Bruton [1] is analyzed with respect to its applicability in the field of signal processing applications. In the field of n-D signal processing signals are often bounded to all but one dimension like be the timedirection of a spatio-temporal signal, for instance. This property makes the use of systems which meet the conditions of practical BIBO stability, mainly known from the field of control theory, appear to be feasible. However, it can be shown hat practical stability in its original form is not sufficient in signal processing if not further conditions are supposed. This is done by comparing the 2D Fourier transform of the actually measured impulse response of exemplary systems to the frequency response expected on basis of the transfer function. Additionally, an application example is given to verify the presented observations.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"4 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":"116466020","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
Strongly autonomous behaviors over finite rings 有限环上的强自治行为
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5191688
E. Zerz
{"title":"Strongly autonomous behaviors over finite rings","authors":"E. Zerz","doi":"10.1109/NDS.2009.5191688","DOIUrl":"https://doi.org/10.1109/NDS.2009.5191688","url":null,"abstract":"We give a new characterization of strong autonomy of linear shift-invariant multidimensional behaviors over finite rings. Unlike earlier descriptions of the concept, the new notion coincides directly with known results on pastdeterminedness when applied to the special case of onedimensional systems of this type. This is a first step towards formulating a well-posed initial value problem for systems of partial difference equations over finite rings, a question of interest from the point of view of convolutional coding theory.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"19 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":"114504238","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
Livsic realization of 2D-behaviors with degree one autonomy 具有一级自治的二维行为的可视化实现
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5191733
J. Ball, Grant M. Boquet
{"title":"Livsic realization of 2D-behaviors with degree one autonomy","authors":"J. Ball, Grant M. Boquet","doi":"10.1109/NDS.2009.5191733","DOIUrl":"https://doi.org/10.1109/NDS.2009.5191733","url":null,"abstract":"Early work on behaviors associated with N-D systems emphasized two extreme types of behaviors, namely, autonomous (no free variables) and controllable (existence of a global trajectory patching together the past part of some trajectory with the future part of some other trajectory). It was shown that any behavior can be decomposed as an autonomous part plus a controllable part. Later work gave a more refined classification of autonomous behaviors: nonautonomous behaviors are those with a free variable defined over the whole lattice and have autonomy degree 0 while autonomous behaviors are now further classified into those with autonomy degree k for k = 1; 2,...,N, ∞, where k = ∞ for the zero behavior and otherwise N — k is the maximal dimension of a sublattice on which it is possible to assign a free variable. Independently of this work with motivation from multivariable operator theory, Livšic and coworkers introduced a certain type of overdetermined 2-D input/state/output linear system where inputs and outputs are required to satisfy their own compatibility difference equations. The purpose of this note is to identify the place of Livšic systems in the behavioral framework: the input-output behavior of a Livšic system roughly can be characterized as a 2-D behavior with autonomy degree equal to 1.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"53 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":"128862176","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
Approximation of nD systems using tensor decompositions 用张量分解逼近nD系统
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-08-07 DOI: 10.1109/NDS.2009.5196137
F. V. Belzen, S. Weiland
{"title":"Approximation of nD systems using tensor decompositions","authors":"F. V. Belzen, S. Weiland","doi":"10.1109/NDS.2009.5196137","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196137","url":null,"abstract":"This paper considers reduced order modeling of systems with multiple independent variables. The method of Proper Orthogonal Decompositions (POD) is a data-based method that is suitable for the reduction of large-scale distributed systems. In this paper we propose a generalization of the POD method so as to take the nD nature of the distributed model into account. Suitable projection spaces can be computed by associating a tensor with the measurement data and computing a suitable decomposition of this tensor. We demonstrate how prior knowledge about the structure of the model reduction problem can be used to improve the quality of approximations. The tensor decomposition techniques are demonstrated on a data approximation example and then the model reduction process is illustrated using a heat diffusion problem.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"87 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":"126372998","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
A W*-correspondence approach to multi-dimensional linear dissipative systems 多维线性耗散系统的W*-对应方法
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-06-04 DOI: 10.1109/NDS.2009.5196172
J. Ball, S. Horst
{"title":"A W*-correspondence approach to multi-dimensional linear dissipative systems","authors":"J. Ball, S. Horst","doi":"10.1109/NDS.2009.5196172","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196172","url":null,"abstract":"Recent work of the operator algebraists P. Muhly and B. Solel, primarily motivated by the theory of operator algebras and mathematical physics, delineates a general abstract framework where system theory ideas appear in disguised form. These system-theory ingredients include: system matrix for an input/state/output linear system, Z-transform from a “time domain” to a “frequency domain”, and Z-transform of the output signal given by an observation function applied to the initial condition plus a transfer function applied to the Z-transform of the input signal. Here we set down the definitions and main results for the general Muhly-Solel formalism and illustrate them for two specific types of multidimensional linear systems: (1) dissipative Fornasini-Marchesini state-space representations with transfer function equal to a holomorphic operator-valued function on the unit ball in ℂd, and (2) noncommutative dissipative Fornasini-Marchsini linear systems with evolution along a free semigroup and with transfer function defined on the noncommutative ball of strict row contractions on a Hilbert space.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123356918","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
Stabilization of nD behaviors nD行为的稳定
2009 International Workshop on Multidimensional (nD) Systems Pub Date : 2009-06-01 DOI: 10.1109/NDS.2009.5196174
P. Rocha
{"title":"Stabilization of nD behaviors","authors":"P. Rocha","doi":"10.1109/NDS.2009.5196174","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196174","url":null,"abstract":"In the behavioral framework, system interconnection and control are treated essentially in terms of behavior intersection. After a brief overview of the basic ideas of nD system interconnection and the definition of a notion of nD stability, we focus on the problem of nD system stabilization. We consider both full and partial interconnections, the former corresponding to a situation where all the system variables may be used for control, the latter to a situation where only some of the system variables may be used for control purposes.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127572366","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
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信