Differential Dissipativity Theory for Dominance Analysis
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Sepulchre, R https://orcid.org/0000-0002-7047-3124
Abstract
High-dimensional systems that have a low-dimensional dominant behavior allow for model reduction and simplified analysis. We use differential analysis to formalize this important concept in a nonlinear setting. We show that dominance can be studied through linear dissipation inequalities and an interconnection theory that closely mimics the classical analysis of stability by means of dissipativity theory. In this approach, stability is seen as the limiting situation where the dominant behavior is 0-dimensional. The generalization opens novel tractable avenues to study multistability through 1-dominance and limit cycle oscillations through 2-dominance.
Description
Keywords
Nonlinear control systems, interconnected systems, linear matrix inequalities, linearization techniques, limit-cycles
Journal Title
IEEE Transactions on Automatic Control
Conference Name
Journal ISSN
0018-9286
1558-2523
1558-2523
Volume Title
64
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publisher DOI
Sponsorship
European Research Council (670645)