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Advances in Difference Equations

, 2017:129

First Online: 05 May 2017Received: 23 October 2016Accepted: 06 March 2017DOI: 10.1186-s13662-017-1129-y

Cite this article as: Qiao, Y., Huang, Y. & Chen, M. Adv Differ Equ 2017 2017: 129. doi:10.1186-s13662-017-1129-y

Abstract

In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method. Consequently, some novel global input-to-state stability principles are given. As an application to this result, a coupled Lurie system is also discussed. By constructing an appropriate Lyapunov function, a sufficient condition ensuring input-to-state stability of this coupled Lurie system is established. Two examples are provided to demonstrate the effectiveness of the theoretical results.

Keywordsinput-to-state stability coupled control system Lyapunov function 



Autor: Yu Qiao - Yue Huang - Minghao Chen

Fuente: https://link.springer.com/







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