LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks

被引：0
作者：
Dongyuan Lin
Xiaofeng Chen
Bing Li
Xujun Yang
机构：
[1] Chongqing Jiaotong University,Department of Mathematics
[2] Chongqing Jiaotong University,Department of Economics and Management
来源：
Advances in Difference Equations | / 2019卷
关键词：
Fractional-order quaternion-valued neural networks; Global Mittag-Leffler stability; Projective synchronization; Robust stability; Linear matrix inequality;
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摘要：
This paper addresses the issue of three dynamical behaviors including global Mittag-Leffler stability, robust stability and projection synchronization for fractional-order quaternion-valued neural networks (FQVNNs). Some linear matrix inequality conditions for these dynamical behaviors of FQVNNs are given by Lyapunov stability theory, quaternion matrix theory, Homeomorphic mapping theory and fractional differential equation theory. Furthermore, these obtained sufficient conditions for stability and synchronization are superior to those in existing literature. Finally, three examples are given to illustrate the effectiveness of the theoretical results.
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