Abstract
This article presents a small-gain theorem for networks composed of a countably infinite number of finite-dimensional subsystems. Assuming that each subsystem is exponentially input-to-state stable, we show that if the gain operator, collecting all the information about the internal Lyapunov gains, has a spectral radius less than one, the overall infinite network is exponentially input-to-state stable. The effectiveness of our result is illustrated through several examples including nonlinear spatially invariant systems with sector nonlinearities and a road traffic network.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Computer Science |
| Subjects: | 000 Computer science, information and general works > 004 Data processing computer science |
| ISSN: | 0018-9286 |
| Language: | English |
| Item ID: | 99457 |
| Date Deposited: | 05. Jun 2023, 15:31 |
| Last Modified: | 05. Jun 2023, 15:31 |
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