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Geometrically (Q, S, R)‐Incremental Dissipativity and Incremental Stability for Switched Time‐Varying Nonlinear Discrete‐Time Systems.
- Source :
- Asian Journal of Control; Jan2020, Vol. 22 Issue 1, p251-265, 15p
- Publication Year :
- 2020
-
Abstract
- This paper investigates geometrically (Q,S,R)‐incremental dissipativity and incremental stability for switched time‐varying nonlinear discrete‐time systems. A geometrically (Q,S,R)‐incremental dissipativity concept is proposed for switched nonlinear discrete‐time systems by using multiple storage functions and multiple incremental supply rate. Furthermore, the sufficient conditions of geometrically (Q,S,R)‐incremental dissipativity are given under the design of state‐dependent switching law. The incremental stability conditions are derived for geometrically (Q,S,R)‐incrementally dissipative switched systems. By designing of a composite state‐dependent switching law, the feedback interconnected switched systems are ensured to be geometrically (Q,S,R)‐incrementally dissipative. A numerical example is given to illustrate the validity of the proposed approach. [ABSTRACT FROM AUTHOR]
- Subjects :
- DISCRETE-time systems
NONLINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 15618625
- Volume :
- 22
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Asian Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 141383381
- Full Text :
- https://doi.org/10.1002/asjc.1854