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A Decomposition Approach for a Class of Spatially Interconnected Systems of Finite Spatial Extent

Ginta, Sabin-Mihai and Schug, Ann-Kathrin and Werner, Herbert (2018) A Decomposition Approach for a Class of Spatially Interconnected Systems of Finite Spatial Extent. In: Proceedings of the American Control Conference, pp. 949-954. Annual American Control Conference, Milwaukee, WI, USA. DOI: 10.23919/ACC.2018.8431839 ISSN 2378-5861

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Official URL: http://dx.doi.org/10.23919/ACC.2018.8431839

Abstract

This paper presents a decomposition approach for a class of spatially interconnected systems of finite extent obtained by discretizing partial differential equations including boundary conditions. Such finite extent systems can be modeled as an interconnection of identical subsystems communicating with their nearest neighbors resulting in a lattice-interconnection-topology. Recently the question has been raised whether this class of systems is decomposable. It is shown that these systems are decomposable with respect to a pattern matrix for which a construction law is presented, using the coefficients of the finite difference equation and taking the boundary conditions into account. By bringing the system into a decomposed form, several existing distributed analysis and synthesis techniques can be applied. This approached also helps to bridge the gap between spatially interconnected and multiagent systems. Finally, the approach is demonstrated with stability analysis on two numerical examples

Item URL in elib:https://elib.dlr.de/123245/
Document Type:Conference or Workshop Item (Speech)
Title:A Decomposition Approach for a Class of Spatially Interconnected Systems of Finite Spatial Extent
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Ginta, Sabin-MihaiSabin-Mihai.Ginta (at) dlr.deUNSPECIFIED
Schug, Ann-KathrinUNSPECIFIEDUNSPECIFIED
Werner, HerbertUNSPECIFIEDUNSPECIFIED
Date:16 August 2018
Journal or Publication Title:Proceedings of the American Control Conference
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI :10.23919/ACC.2018.8431839
Page Range:pp. 949-954
ISSN:2378-5861
Status:Published
Keywords:spatially interconnected systems, larce scale systems, boundary conditions, partial differential equations
Event Title:Annual American Control Conference
Event Location:Milwaukee, WI, USA
Event Type:international Conference
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Vorhaben Terrestrische Assistenz-Robotik
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Space System Dynamics
Deposited By: Ginta, Sabin-Mihai
Deposited On:19 Nov 2018 10:36
Last Modified:25 Jul 2019 11:22

Available Versions of this Item

  • A Decomposition Approach for a Class of Spatially Interconnected Systems of Finite Spatial Extent. (deposited 19 Nov 2018 10:36) [Currently Displayed]

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