Impulsive Effects on Synchronization of Singularly Perturbed Complex Networks With Semi-Markov Jump Topologies
研究了一类非线性奇异摄动复杂网络在随机切换拓扑和脉冲作用下的同步问题，提出了奇异摄动参数上界和平均脉冲间隔的确定方法，并推导了同步的充分条件。
Synchronization of a class of nonlinear singularly perturbed complex networks (SPCNs) with semi-Markov jump topologies and impulsive effects is studied in this article. A complex network with a kind of random switching topologies is considered, where the randomness is depicted by a semi-Markov chain. A method is put forward to obtain the upper bound of singularly perturbed parameter (SPP) with different coupling strengths, and the concept of average impulsive interval is introduced to regulate the frequency of impulses. By utilizing the SPP-dependent semi-Markovian Lyapunov function, some sufficient conditions are derived for achieving synchronization of an SPCN. The effectiveness and validity of the proposed synchronization strategy are verified by two numerical examples.