Open AccessIncremental stability for switched non‐linear systems based on geometrically incremental dissipativity
Author(s) -
Ren Yuanhong,
Wang Weiqun,
Wang Yixiang
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0762
Subject(s) - dwell time , control theory (sociology) , dissipative system , mathematics , stability (learning theory) , lyapunov function , linear system , computer science , control (management) , mathematical analysis , nonlinear system , medicine , clinical psychology , physics , quantum mechanics , artificial intelligence , machine learning
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.