Conference proceeding
A Lyapunov-based small-gain theorem for finite time input-to-state stablity of discrete time infinite networks
Proceedings of the IEEE Conference on Decision & Control, pp.5120-5125
12/16/2024
DOI: 10.1109/CDC56724.2024.10886341
Abstract
This paper considers the finite time input-to-state stability (FTISS) with respect to a closed set for discrete time infinite networks composed of a potentially infinite finite-dimensional subsystems. Towards this end, FTISS Lyapunov functions are first provided for infinite networks, via leveraging the existing tools for discrete time finite networks. Further, a small gain condition is postulated so that FTISS Lyapunov functions for the overall system can be constructed from the FTISS Lyapunov-like functions for each subsystem. The established small gain result is scale-free as it can be applied to any truncation of the original infinite network while maintaining quantitative stability properties.
Details
- Title: Subtitle
- A Lyapunov-based small-gain theorem for finite time input-to-state stablity of discrete time infinite networks
- Creators
- Yuanqiu Mo - Southeast UniversityWenwu Yu - Southeast UniversitySoura Dasgupta - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- Proceedings of the IEEE Conference on Decision & Control, pp.5120-5125
- Publisher
- IEEE
- DOI
- 10.1109/CDC56724.2024.10886341
- eISSN
- 2576-2370
- Grant note
- National Natural Science Foundation of China (10.13039/501100001809)
- Language
- English
- Date published
- 12/16/2024
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984798229302771
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