有色噪声驱动的多权重随机复杂网络的稳定性和同步性

Complex Networks Driven by Colored Noise

基于图论方法和全局Lyapunov函数,给出判定有色噪声驱动的多权重随机复杂网络系统在m阶矩意义下噪声到状态稳定性的充分条件,并进一步构造该系统的响应系统,通过研究同步误差系统得到驱动系统和响应系统在m阶矩意义下噪声到状态同步的判据。最后结果表明,有色噪声驱动的多权重随机复杂网络的稳定性和同步性与多重权重和有色噪声的强度密切相关。

Based on the method of graph theory and the global Lyapunov function,a sufficient condition for judging the noise-to-state stability of multi-weight stochastic complex network systems driven by colored noise under the m-th moment is given.The response system of the system is further constructed,and the criterion of the noise-to-state synchronization of the driving system and the response system under the m-th moment is obtained by studying the synchronization error system.The final results show that the stability and synchronization of multi-weight stochastic complex networks driven by colored noise are closely related to the strength of multi-weight and colored noise.