Title :
Characterization of Robust Stability of a Class of Interconnected Systems
Author :
Kao, C.-Y. ; Jönsson, U. ; Fujioka, H.
Author_Institution :
Univ. of Melbourne, Parkville
Abstract :
We consider robust stability analysis of a class of spatially interconnected systems. The individual subsystems may be different but they are assumed to share some properties that can be characterized by an integral quadratic constraint. The main contribution of the paper is to show that, for the case where the network interconnection matrix is normal, (robust) stability verification can be simplified to a simple problem of checking the location of the eigenvalues of the interconnection matrix. Most interestingly, we also identify a class of networks for which this characterization on eigenvalues is necessary and sufficient for robust stability.
Keywords :
interconnected systems; matrix algebra; stability; integral quadratic constraint; network interconnection matrix; robust stability characterization; spatially interconnected systems; stability verification; Cities and towns; Computational complexity; Control systems; Councils; Eigenvalues and eigenfunctions; Instruments; Interconnected systems; Robust control; Robust stability; Vehicles;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282988