Back to Search
Start Over
Path-complete $p$-dominant switching linear systems
- Publication Year :
- 2018
-
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.<br />Comment: 6 pages, 5 figures, to be presented at IEEE Conference on Decision and Control 2018
- Subjects :
- Mathematics - Optimization and Control
93C30, 93C05, 93C83
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1808.09757
- Document Type :
- Working Paper