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Article

Quantized Control for Local Synchronization of Fractional-Order Neural Networks with Actuator Saturation

by
Shuxian Fan
1 and
Meixuan Li
2,*
1
College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China
2
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
*
Author to whom correspondence should be addressed.
Axioms 2023, 12(9), 815; https://doi.org/10.3390/axioms12090815
Submission received: 14 July 2023 / Revised: 10 August 2023 / Accepted: 22 August 2023 / Published: 25 August 2023
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Abstract

This brief discusses the use of quantized control with actuator saturation to achieve the local synchronization of master–slave fractional-order neural networks (FONNs). A refined sector condition (RSC) is proposed that addresses the issue of the simultaneous quantizer effects and actuator constraints. The RSC is used in the theoretical analysis of local synchronization in drive-response systems. The analysis employs inequality techniques on the Mittag–Leffler function and fractional-order Lyapunov theory. Additionally, this paper presents two convex optimization algorithms that aim to minimize the actuator’s costs and expand the admissible initial area (AIA). Finally, this paper employs a three-neuron FONN to demonstrate the efficacy of the proposed methods.
Keywords: fractional-order neural networks; FONNs; quantized control; actuator saturation; refined sector condition; RSC; local synchronization fractional-order neural networks; FONNs; quantized control; actuator saturation; refined sector condition; RSC; local synchronization

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MDPI and ACS Style

Fan, S.; Li, M. Quantized Control for Local Synchronization of Fractional-Order Neural Networks with Actuator Saturation. Axioms 2023, 12, 815. https://doi.org/10.3390/axioms12090815

AMA Style

Fan S, Li M. Quantized Control for Local Synchronization of Fractional-Order Neural Networks with Actuator Saturation. Axioms. 2023; 12(9):815. https://doi.org/10.3390/axioms12090815

Chicago/Turabian Style

Fan, Shuxian, and Meixuan Li. 2023. "Quantized Control for Local Synchronization of Fractional-Order Neural Networks with Actuator Saturation" Axioms 12, no. 9: 815. https://doi.org/10.3390/axioms12090815

APA Style

Fan, S., & Li, M. (2023). Quantized Control for Local Synchronization of Fractional-Order Neural Networks with Actuator Saturation. Axioms, 12(9), 815. https://doi.org/10.3390/axioms12090815

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