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Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control
Ist Teil von
Chaos, solitons and fractals, 2023-01, Vol.166, p.112947, Article 112947
Ort / Verlag
Elsevier Ltd
Erscheinungsjahr
2023
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
This paper focuses on the exponential stabilization of multi-link neutral-type complex networks with jump diffusion and mixed delays (MNCNJDs) via aperiodically intermittent control. Different from previous literature, several factors including multi-link, hybrid time delays and jump diffusion are all taken into consideration in our model, which makes the model more realistic. The well-known Lyapunov method is widely used in researching the stabilization issue of complex networks, and it is significant to build up an appropriate Lyapunov function for some particular problems. Consequently, in this paper, an improved Lyapunov function is established to conquer the stabilization problem of MNCNJDs. On the basis of a constructive method that integrates Lyapunov method and graph theory, some sufficient conditions are developed to ensure the stability of MNCNJDs under aperiodically intermittent control. After expounding the main results of this paper, we employ the theoretical results on stabilizing the oscillators system with jump diffusion. Ultimately, the relevant numerical simulations are presented to lend insight to demonstrate the capability and practicability of our theoretical results.
•We construct a new mathematical modeling of MNCNJDs, which is more general and available in comparison. Simultaneously, an aperiodically intermittent controller is designed based on this model.•We develop a novel method which includes a modified Lyapunov function as well as the graph theory, therefore the conservativeness is largely reduced.•We apply the theoretical results to the oscillators system with jump diffusion and design an aperiodically intermittent controller to drive the network to achieve its exponential stability, which enriches the application ranges of oscillators system.