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- Title
Incremental stability for switched non‐linear systems based on geometrically incremental dissipativity.
- Authors
Ren, Yuanhong; Wang, Weiqun; Wang, Yixiang
- Abstract
In this study, a geometrically incremental dissipativity is proposed for switched discrete‐time non‐linear systems using multiple storage functions and multiple supply rates. The uniform incremental stability conditions are derived for geometrically incrementally dissipative discrete‐time switched systems by using multiple Lyapunov functions approach and average dwell‐time technique. The geometrically incremental dissipativity is preserved for the feedback interconnected switched non‐linear systems with a composite switching law, while uniform incremental stability is preserved under some certain conditions. Two numerical examples are given to illustrate the validity of the authors' results.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 6, p837
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2017.0762