期刊
CHAOS SOLITONS & FRACTALS
卷 147, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.110911
关键词
Fractional calculus; Quaternion-valued; Memristive neural network; Finite-time projective synchronization
资金
- Excellent Doctor Innovation Program of Xinjiang Uyghur Autonomous Region [XJ2020G005]
- National Natural Science Foundation of Peoples Republic of China [U1703262, 61866036, 61963033]
- Doctor Foundation of Xinjiang Uygur Autonomous Region [620320022]
This paper investigates the finite-time projective synchronization of fractional-order quaternion-valued memristive networks with discontinuous activation functions. By introducing the sign function related to quaternion and designing quaternion-valued controllers, several synchronization conditions are proposed. Notably, the settling times are evaluated validly by the established finite-time fractional-order inequality, and the addressed networks are converted into systems with parametric uncertainty.
Based on the non-separation method, the finite-time projective synchronization of fractional-order quaternion-valued memristive networks with discontinuous activation functions is investigated in this paper. Firstly, the sign function related to quaternion is introduced and some properties concerning it are developed. Secondly, two different quaternion-valued controllers are designed by feat of the proposed sign function. Subsequently, several synchronization conditions are derived and the settling times are evaluated validly by the established finite-time fractional-order inequality. Especially noteworthy is that the addressed networks are converted into systems with parametric uncertainty in the framework of differential inclusion and measurable selection. Finally, a numerical example is given to demonstrate the correctness of theoretical analyses. (c) 2021 Elsevier Ltd. All rights reserved.
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