報(bào)告人： 張春梅 博士
時(shí)間： 2016年 10月27日（ 星期四） 下午 4：00-5：00
地點(diǎn)：X2538 數(shù)學(xué)學(xué)習(xí)中心
題目：Global stability analysis for stochastic coupled systems on networks
摘要：In this talk, a novel class of stochastic coupled systems with Lévy noise on networks (SCSLNNs) is presented.
Both white noise and Lévy noise are considered in the networks. By exploiting graph theory and Lyapunov
stability theory, criteria ensuring pth moment exponential stability and stability in probability of these SCSLNNs
are established, respectively. These principles are closely related to the topology of the network and
the perturbation intensity of white noise and Lévy noise. Moreover, to verify the theoretical results,
stochastic coupled oscillators with Lévy noise on a network and stochastic Volterra predator–prey system with Lévy noise are performed. Finally, a numerical example about oscillators’ network
is provided to illustrate the feasibility of our analytical results.
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