Well-posedness & stability analysis for spatially interconnected systems with finite extent
Publikationstyp
Conference Paper
Date Issued
2017-07-03
Sprache
English
Institut
TORE-URI
Start Page
1803
End Page
1808
Article Number
7963214
Citation
Proceedings of the American Control Conference: 7963214, 1803-1808 (2017)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IEEE
ISBN of container
978-1-5090-5992-8
Novel sufficient conditions for well-posedness and stability of spatially interconnected systems with finite extent are proposed. Existing conditions for space-invariant interconnected systems do in general not guarantee these properties for finite-extent systems. Rather than using a model based on the spatial shift operator, here the system is represented as a network of (not necessarily identical) subsystems with a particular interconnection topology. The analysis problem is solved by utilizing the full-block S-procedure; by imposing a suitable structure on the associated multiplier the problem can be reduced to a complexity that does not depend on the size of the network but only on the size of a single subsystem and the number of different subsystem types present in the network. Various boundary conditions can be taken into account. The proposed method is illustrated on the model of a thermal rod equipped with an array of sensors and actuators.
DDC Class
600: Technik