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Path-Complete p-Dominant Switching Linear Systems


Type

Conference Object

Change log

Authors

Berger, GO 
Jungers, RM 

Abstract

The notion of path-complete p-dominance for switching linear systems (in short, path-dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI systems. Path-dominance is characterized by the contraction property of a set of quadratic cones in the state space. We show that path-dominant systems have a low-dimensional dominant behavior, and hence allow for a simplified analysis of their dynamics. An algorithm for deciding the path-dominance of a given system is presented.

Description

Keywords

math.OC, math.OC, 93C30, 93C05, 93C83

Journal Title

Proceedings of the IEEE Conference on Decision and Control

Conference Name

2018 IEEE Conference on Decision and Control (CDC)

Journal ISSN

0743-1546
2576-2370

Volume Title

2018-December

Publisher

IEEE