摘要
针对线性耦合的复杂网络有限时间同步控制问题,在非线性动态满足一定条件的情况下,基于同步误差,结合线性反馈原理和有限时间控制思想,提出两种不同的连续非光滑控制协议。并应用矩阵理论和有限时间稳定性引理,给出复杂网络实现有限时间同步的充分条件。若选取合适的反馈控制增益,可使复杂非线性耦合网络实现有限时间同步。最后通过仿真实例验证了该方案的可行性和有效性。
The finite-time synchronization control problem is addressed for complex dynamical networks with linear couplings. In the case that nonlinear dynamics satisfies certain conditions, based on the synchronization error, two different continuous non-smooth control protocols are proposed, combined with linear feedback principle and finite-time control. The sufficient conditions are given for finite-time synchronization of complex networks by applying matrix theory and finite-time stability lemma. And finite time synchronization can be achieved with suitable control gain for complex dynamic network with nonlinear couplings. Simulation results verified the correctness and validity of the proposed scheme.
出处
《吉林大学学报（信息科学版）》
CAS
2014年第4期423-429,共7页
Journal of Jilin University（Information Science Edition）
基金
黑龙江省科学基金资助项目(QC2013C066)
关键词
复杂网络
有限时间
同步控制
complex networks
finite-time
synchronization control
