Anti-Synchronization in Fixed Time for Discontinuous Reaction-Diffusion Neural Networks With Time-Varying Coefficients and Time Delay

This paper studies the fixed-time anti-synchronization (FTAS) of discontinuous reaction-diffusion neural networks (DRDNNs) with both time-varying coefficients and time delay. First, differential inclusion theory is used to deal with the influence caused by discontinuous activations. In addition, a n...

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Vydáno v:IEEE transactions on cybernetics Ročník 50; číslo 6; s. 2758 - 2769
Hlavní autoři: Wang, Zengyun, Cao, Jinde, Cai, Zuowei, Rutkowski, Leszek
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States IEEE 01.06.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Adaptive control
Algorithms
Animals
Biological neural networks
Coefficients
Computer simulation
Control algorithms
Control systems design
Control theory
Convergence
Delay effects
Discontinuous reaction–diffusion neural networks (DRDNNs)
Feedback
Feedback control
fixed-time anti-synchronization (FTAS)
integral state-feedback control algorithm
Liapunov functions
Lyapunov methods
Mathematical model
Models, Neurological
Neural networks
Neural Networks, Computer
Neurons
Neurons - physiology
novel state-feedback control algorithm
Synchronism
Synchronization
Time Factors
Time lag
Time synchronization
time-varying coefficient
ISSN:2168-2267, 2168-2275, 2168-2275
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Popis
Shrnutí:This paper studies the fixed-time anti-synchronization (FTAS) of discontinuous reaction-diffusion neural networks (DRDNNs) with both time-varying coefficients and time delay. First, differential inclusion theory is used to deal with the influence caused by discontinuous activations. In addition, a new fixed-time convergence theorem is used to handle the time-varying coefficients. Second, a novel state-feedback control algorithm and integral state-feedback control algorithm are proposed to realize FTAS of DRDNNs. During the generalized (adaptive) pinning control strategy, a guideline is proposed to select neurons to pin the designed controller. Furthermore, we present several criteria on FTAS by using the generalized Lyapunov function method. Different from the traditional Lyapunov function with negative definite derivative, the derivative of the Lyapunov function can be positive in this paper. Finally, we give two numerical simulations to substantiate the merits of the obtained results.
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ISSN:2168-2267
2168-2275
2168-2275
DOI:10.1109/TCYB.2019.2913200