Function Projective Synchronization of Two Fractional-order Complex Dynamical Networks
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摘要: 复杂网络的同步问题是复杂网络研究的热点之一, 本文研究了两个分数阶复杂网络间的函数投影同步问题.分别针对网络模型参数已知和参数未知两种情况, 利用自适应控制技术和分数阶系统稳定性理论, 设计自适应控制器, 使两个分数阶复杂动态网络实现函数投影同步.最后利用数值仿真验证所提出方法的有效性.Abstract: Synchronization is one of the hot topics in the investigation of complex dynamical networks. Two fractional-order complex dynamical networks with known parameters and unknown parameters are respectively investigated in this paper. Based on the adaptive control technique and stability theory of fractional-order differential system, an adaptive controller is designed for each case. Numerical examples are provided to show the effectiveness of the proposed methods.
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图 1 分数阶Chen系统混沌吸引子 (q=0.95)
Fig. 1 Chaoticattractor of fractional-order Chen system (q=0.95)
图 3 用控制器 (6) 获得的同步误差时间变化图
Fig. 3 The timeevolution of synchronization errors under control law (6)
图 4 利用控制器 (15) 获得的同步误差时间变化图 (ki=1)
Fig. 4 The timeevolution of synchronization errors under control law (15)(ki=1)
图 5 利用控制器 (15) 获得的同步误差时间变化图 (ki=50)
Fig. 5 The timeevolution of synchronization errors under control law (15)(ki=50)
图 6 利用控制器 (21) 获得的同步误差时间变化图
Fig. 6 The timeevolution of synchronization errors under control law (21)
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