A graph-theoretic approach to stability of neutral stochastic coupled oscillators network with time-varying delayed coupling

作者：Zhang Chunmei; Li Wenxue^*; Wang Ke

来源：Mathematical Methods in the Applied Sciences, 2014, 37(8): 1179-1190.

DOI：10.1002/mma.2879

• time delays
• network
• stochastic stability
• coupled oscillators

In this paper, a graph-theoretic approach for checking exponential stability of the system described by neutral stochastic coupled oscillators network with time-varying delayed coupling is obtained. Based on graph theory and Lyapunov stability theory, delay-dependent criteria are deduced to ensure moment exponential stability and almost sure exponential stability of the addressed system, respectively. These criteria can show how coupling topology, time delays, and stochastic perturbations affect exponential stability of such oscillators network. This method may also be applied to other neutral stochastic coupled systems with time delays. Finally, numerical simulations are presented to show the effectiveness of theoretical results.

• 出版日期2014-5-30
• 单位哈尔滨工业大学