Title :
An IQC characterization of decentralized Lyapunov functions in spatially invariant arrays
Author :
De Castro, Gustavo Ayres ; Paganini, Fernando
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
Abstract :
We derive state-space integral quadratic constraints (IQC) equivalent to global performance criteria for a spatially invariant array of systems. We first show that a local IQC is equivalent to global stability with a decentralized Lyapunov function. Then, we show the equivalence between a local state-space IQC and a global H∞ norm bound.
Keywords :
Lyapunov matrix equations; decentralised control; linear systems; time-varying systems; decentralized Lyapunov functions; global H∞ norm bound; global performance criteria; global stability; spatially invariant arrays; state-space integral quadratic constraints; Algebra; Control system synthesis; Control systems; Lyapunov method; Paper making machines; Robust stability; State-space methods; Vehicles;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184557
