Journal article
Finite time input-to-state stability of discrete time autonomous systems
IEEE control systems letters, Vol.7, pp.2475-2544
2023
DOI: 10.1109/LCSYS.2023.3287502
Abstract
We consider the finite time input-to-state stability of autonomous discrete time systems, where the state enters a ball around the origin, with a radius determined by the input magnitude, in finite time. This extends the notion of classical input to state stability where this condition is only achieved asymptotically. We provide several types of Lyapunov functions that guarantee finite time input-to-state stability and characterize their equivalence. We also give converse Lyapunov theorems correcting a mistake (Mo and Dasgupta, 2022).
Details
- Title: Subtitle
- Finite time input-to-state stability of discrete time autonomous systems
- Creators
- Yuanqiu Mo - Southeast UniversityRan Xing - University of SydneyHuazhou Hou - Southeast UniversitySoura Dasgupta - University of Iowa
- Resource Type
- Journal article
- Publication Details
- IEEE control systems letters, Vol.7, pp.2475-2544
- DOI
- 10.1109/LCSYS.2023.3287502
- ISSN
- 2475-1456
- eISSN
- 2475-1456
- Grant note
- DOI: 10.13039/501100004731, name: Natural Science Foundation of Zhejiang Province, award: LQ21F030011; DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 62203109; name: Guangdong Basic, Applied Basic Research Foundation, award: 2020A1515110148; DOI: 10.13039/501100004608, name: Natural Science Foundation of Jiangsu Province, award: BK20220812
- Language
- English
- Date published
- 2023
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984442222702771
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