Title :
A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness
Author :
Kashima, Kenji ; Papachristodoulou, Antonis ; Allgöwer, Frank
Author_Institution :
Grad. Sch. of Inf. Sci. & Eng., Tokyo Inst. of Technol., Tokyo, Japan
Abstract :
In this paper, we investigate ultimate boundedness of large-scale arrays consisting of piecewise affine (PWA) sub-systems linearly interconnected through channels with delays. Under an assumption on subsystem dynamics, it is shown that ultimate boundedness can be reduced to the stability of a linear delay differential system. This enables us to use linear multi-agent system theory. As a result, we obtain sufficient conditions for ultimate boundedness taking the robustness of the interconnection topology into account. The usefulness of the results is examined through its application to the FitzHugh-Nagumo model.
Keywords :
affine transforms; linear systems; multi-agent systems; robust control; FitzHugh-Nagumo model; coupled piecewise affine system; delay robustness; interconnection topology; linear delay differential system; linear multiagent system theory; subsystem dynamics; Biology; Delay; Europe; Silicon;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160612
