Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter
- Resource Type
- Periodical
- Authors
- Goebel, R.
- Source
- IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. 68(6):3694-3697 Jun, 2023
- Subject
- Signal Processing and Analysis
Switches
Lyapunov methods
Switching systems
Asymptotic stability
Stability analysis
Standards
Robustness
Difference inclusion
discrete-time switching system
dwell time
multiple Lyapunov functions
smooth Lyapunov function
- Language
- ISSN
- 0018-9286
1558-2523
2334-3303
Nonlinear discrete-time switching systems under mode-dependent switching and dwell-time constraints are modeled by difference inclusions. Novel proofs of converse Lyapunov results are obtained for the switching systems as consequences of a converse Lyapunov result for a difference inclusion.