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

Publikationstyp
Conference Paper
Date Issued
2018-08-09
Sprache
English
Author(s)
Ginta, Sabin Mihai  
Schug, Ann-Kathrin 
Werner, Herbert  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/2489
Journal
Proceedings of the American Control Conference  
Start Page
949
End Page
954
Citation
American Control Conference (2018-June): 949-954 (2018-08-09)
Contribution to Conference
American Control Conference, ACC 2018  
Publisher DOI
10.23919/ACC.2018.8431839
Scopus ID
2-s2.0-85052578884
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.