Exponential synchronization for variable-order fractional discontinuous complex dynamical networks with short memory via impulsive control

This paper considers the exponential synchronization issue for variable-order fractional complex dynamical networks (FCDNs) with short memory and derivative couplings via the impulsive control scheme, where dynamical nodes are modeled to be discontinuous. Firstly, the mathematics model with respect...

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Bibliographic Details
Published in:Neural networks 2022-04, Vol.148, p.13-22
Main Authors: Li, Ruihong, Wu, Huaiqin, Cao, Jinde
Format: Article
Language:English
Subjects:
Computer Simulation
Derivative couplings
Exponential synchronization
Feedback
Fractional complex dynamical networks
Impulsive control scheme
Models, Theoretical
Neural Networks, Computer
Short memory
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Summary:This paper considers the exponential synchronization issue for variable-order fractional complex dynamical networks (FCDNs) with short memory and derivative couplings via the impulsive control scheme, where dynamical nodes are modeled to be discontinuous. Firstly, the mathematics model with respect to variable-order fractional systems with short memory is established under the impulsive controller, in which the impulse strength is not only determined by the impulse control gain, but also the order of the control systems. Secondly, the exponential stability criterion for variable-order fractional systems with short memory is developed. Thirdly, the hybrid controller, which consists of the impulsive coupling controller and the discontinuous feedback controller, is designed to realize the synchronization objective. In addition, by constructing Lyapunov functional and applying inequality analysis techniques, the synchronization conditions are achieved in terms of linear matrix inequalities (LMIs). Finally, two simulation examples are performed to verify the effectiveness of the developed synchronization scheme and the theoretical outcomes.
ISSN:0893-6080
1879-2782
DOI:10.1016/j.neunet.2021.12.021