Title :
Dynamical system decomposition using dissipation inequalities
Author :
Anderson, James ; Teixeira, André ; Sandberg, Henrik ; Papachristodoulou, Antonis
Author_Institution :
Dept. of Eng. Sci., Univ. of Oxford, Oxford, UK
Abstract :
In this paper we investigate stability and interaction measures for interconnected systems that have been produced by decomposing a large-scale linear system into a set of lower order subsystems connected in feedback. We begin by analyzing the requirements for asymptotic stability through generalized dissipation inequalities and storage functions. Using this insight we then describe various metrics based on a system´s energy dissipation to determine how strongly the subsystems interact with each other. From these metrics a decomposition algorithm is described.
Keywords :
asymptotic stability; decomposition; feedback; interconnected systems; linear systems; time-varying systems; asymptotic stability; decomposition algorithm; dissipation inequalities; dynamical system decomposition; feedback connected lower order subsystems; generalized dissipation inequalities; interaction measurement; interconnected systems; large-scale linear system; stability measurement; storage functions; system energy dissipation; Asymptotic stability; Ellipsoids; Matrix decomposition; Measurement; Resistors; Stability criteria;
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.2011.6161304
