Finite-time Synchronization of Second-fractional-order 
Memristive Neural Networks via Quantization Control

Yong Qiu

doi:10.70711/frim.v3i4.6466

Finite-time Synchronization of Second-fractional-order Memristive Neural Networks via Quantization Control

Yong Qiu

Abstract

This paper investigates the finite-time synchronization (FTS) of second-fractional-order memristive neural networks (SFOMNNs).
Two hybrid control schemes are designed for SFOMNNs with different orders of inertial terms: one is fractional-order quantized state feedback controller and the other is fractional-order quantized adaptive controller. Without transforming the second-order terms into first-order
terms, several new delay-related algebraic conditions are derived using Lyapunov functionals and fractional-order differential inequalities to
obtain a new criterion for the FTS of SFOMNNs.

Keywords

Second-fractional-order; Finite-time synchronization; Quantized control

Full Text:

PDF

Included Database

References

[1] Kilbas A A, Srivastava H M, Trujillo J J. Theory and applications of fractional differential equations[M]. New York: Elsevier, 2006.

[2] Chen B S, Chen J J. Global asymptotical ? -periodicity of a fractional-order non-autonomous neural networks[J]. Neural Networks,

2015, 68: 7888.

[3] Yu J, Hu C, Jiang H J, Fan X. Projective synchronization for fractional neural networks[J]. Neural Networks, 2014, 49: 8795.

[4] Wan P, Zeng Z G. Stability and stabilization of Takagi-Sugeno fuzzy second-fractional-order linear networks via nonreduced-order

approach[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022, 52(10): 65246533.

[5] Yin X N, Zhang H M, Zhang H, Zhang W W, Cao J D. New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed

inertial neural networks[J]. Nonlinear Analysis: Modelling and Control, 2023, 28: 119.

[6] Gao P Q, Ye R Y, Zhang H, Stamova I, Cao J D. Asymptotic stability and quantitative synchronization of fractional competitive neural

networks with multiple restrictions[J]. Mathematics and Computers in Simulation, 2024, 217: 338353.

[7] Jing T Y, He T Y. Synchronization of fractional-order neural networks via intermittent quantized control: Optimal algorithm[J]. International Journal of Theoretical Physics, 2024, 63(7): 164.

[8] Du F F, Lu J G, Zhang Q H. Delay-dependent finite-time synchronization criterion of fractional-order delayed complex networks[J].

Communications in Nonlinear Science and Numerical Simulation, 2023, 119: 107072.

[9] Hui M, Wei C, Zhang J, Iu H H, Yao R, Lin Bai L. Finite-time synchronization of fractional-order memristive neural networks via feedback and periodically intermittent control[J]. Communications in Nonlinear Science and Numerical Simulation, 2023, 116: 106822.

DOI: http://dx.doi.org/10.70711/frim.v3i4.6466

Refbacks

There are currently no refbacks.