On input-to-state stability for stochastic coupled control systems on networks

作者：

Highlights：

• Highlights

• We construct a model of stochastic coupled control systems on networks.

• We present sufficient conditions for two kinds of input-to-state stability.

• We mainly apply Lyapunov method and generalized Kirchhoff’s matrix tree theorem in graph theory.

• The stability criteria are presented in terms of the topology property of the network.

摘要

Highlights•We construct a model of stochastic coupled control systems on networks.•We present sufficient conditions for two kinds of input-to-state stability.•We mainly apply Lyapunov method and generalized Kirchhoff’s matrix tree theorem in graph theory.•The stability criteria are presented in terms of the topology property of the network.

论文关键词：Input-to-state stability,Coupled control systems,Lyapunov method,Graph theory

论文评审过程：Received 13 October 2014, Revised 18 January 2015, Accepted 1 April 2015, Available online 14 May 2015, Version of Record 14 May 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.04.007