Adaptive H∞ Heterogeneous Synchronization for 0.3 nterdependent Networks With Noise
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摘要: 针对具有噪声的相互依存复杂动力网络, 本文研究了它的局部自适应H∞异质同步问题.该网络由两个具有"一对一"相互依赖关系的子网构成, 子网内部耦合和子网间的耦合均含有未知但有界的非线性函数.基于李雅普诺夫稳定性理论、线性矩阵不等式(Linear matrix inequality, LMI)技术和自适应以及H∞控制方法, 本文提出了使得相互依存网络在外部噪声的干扰下, 两个子网各自达到一致的充分条件.这些条件不仅可以保证受扰动的网络获得鲁棒渐近同步而且可以让网络达到一个给定的鲁棒H∞水平.最后的数值模拟验证了提出的方法的有效性以及可行性.Abstract: In this paper, local adaptive H∞ heterogeneous synchronization is investigated for interdependent networks with noise. The network considered consists of two sub-network, which are one-by-one inter-coupled. The unknown but bounded nonlinear functions exist both in the intra-coupling and inter-coupling between the two sub-networks. Based on the Lyapunov stability theory, linear matrix inequality (LMI), and adaptive H∞ control technique, the sufficient conditions are established to lead the sub-networks of the interdependent networks with noise to respective heterogeneous synchronization, which guarantee not only robust asymptotical synchronization for networks with noise but also a prescribed robust H∞ performance level. Finally, numerical simulations prove the effectiveness and feasibility of the method.
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Key words:
- Interdependent networks /
- adaptive H∞ control /
- heterogeneous synchronization /
- noise /
- linear matrix inequality (LMI)
1) 本文责任编委 鲁仁全 -
图 1 噪声下子网1误差系统迹图
Fig. 1 The trajectory of the error system of sub-network 1 with noise
图 2 噪声下子网2误差系统轨迹图
Fig. 2 The trajectory of the error system of sub-network 2 with noise
图 3 无噪声子网1误差系统轨迹图
Fig. 3 The trajectory of the error system of sub-network 1 without noise
图 4 无噪声子网2误差系统轨迹图
Fig. 4 The trajectory of the error system of sub-network 2 without noise
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