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Title:

A Lyapunov-based small-gain theorem for infinite networks

Document type:
Zeitschriftenaufsatz
Author(s):
Kawan, C.; Mironchenko, A.; Swikir, A.; Noroozi, N.; Zamani, M.
Abstract:
This paper 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 spat...     »
Keywords:
Lyapunov methods; Stability analysis; Thermal stability; Large-scale systems; Informatics; Indexes; Aerospace electronics; Nonlinear systems; small-gain theorems; infinitedimensional systems; input-to-state stability; Lyapunov methods; large-scale systems
Journal title:
IEEE Transactions on Automatic Control
Year:
2020
Pages contribution:
1-1
Fulltext / DOI:
doi:10.1109/TAC.2020.3042410
Print-ISSN:
1558-2523
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