Exponential synchronization for variable-order fractional discontinuous complex dynamical networks with short memory via impulsive control. (April 2022)

• Record Type: Journal Article
• Authors: Li, Ruihong; Wu, Huaiqin; Cao, Jinde
• Is Part Of: Neural networks. Volume 148(2022)
• Page Start: 13
• Page End: 22
• Publication Date: 2022-04
• Subjects: Fractional complex dynamical networks -- Exponential synchronization -- Impulsive control scheme -- Short memory -- Derivative couplings; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2021.12.021
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: 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.