Synchronization of Multi-links Memristor-Based Switching Networks Under Uniform Random Attacks
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A variety of influence factors are common to the support networks which are used as cyber-physical systems. In this paper, we consider the problem of finite-time and exponential synchronization for the memristor-based switching networks (MSNs) with multi-links and multiple time-varying delays under uniform random attacks via asymptotic controller and adaptive controller. We propose a more general system model and utilize an analytical method which is different from the classical analytical techniques like set-valued mappings technique and differential inclusions to preprocess the MSNs to a class of switching networks with some uncertain parameters. Then, based on appropriate Lyaponov functionals and linear matrix inequality, several useful criteria ensuring the finite-time synchronization or asymptotic synchronization of MSNs with multi-links and time-varying delays under uniform random attacks via designed control law are obtained. Finally, two numerical examples are designed to show the feasibility and the correctness of our proposed results.
KeywordsFinite-time and exponential synchronization Memristor-based switching networks Multi-links Uniform random attacks Adaptive controller
The authors would like to thank all the editor as well as the anonymous reviewers for their constructive suggestions, which are important and helpful to improve the quality of this paper. The work is supported by the National Key Research and Development Program (Grant No. 2016YFB0800602) and the National Natural Science Foundation of China (Grant Nos. 61472045, 61573067, 61771071).
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