Numerical decomposition of symmetric linear systems

This paper proposes a method for numerically decomposing symmetric linear systems. We define system symmetries as transformations of the inputs, outputs, and states that do not change the system behavior. We show that symmetric systems can be decomposed into decoupled subsystems. We provide an algorithm for performing this decomposition that uses the input-output symmetries and minimal realizations to calculate the decomposition. 2015 IEEE Conference on Decision and Control (CDC) This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying...

• Type: Journal
• Year: 2015
• Where: CDC
• Authors: Claus Danielson, Stefan Bauer
• Keywords: CDC 2015, Control Systems