Content introduction
Chinese Abstract:
The multiple mittag Leffler stability of fractional order quaternion valued neural networks (qvnns) is studied. By using the geometric properties of the activation function and Lipschitz condition, the existence of the equilibrium point of the system is analyzed. In addition, the Lyapunov direct method is used to study the global mittag Leffler stability of multiple equilibrium points of fractional order impulsive four element neural network. Finally, the validity and feasibility of the main results are verified by simulation.
key word:
Mittag Leffler stability; fractional order; quaternion neural network; pulse
Author:
K. Udhayakumar1, R. rakkiyappan1, Cao Jinde 2, Tan Xuegang 3
Company:
1 Department of mathematics, University of Bharatiya, Coimbatore, India 641046
2 School of mathematics, Southeast University, Nanjing, China, 210096
3 College of automation, Southeast University, Nanjing, China, 210096
Reference format:
K. Udhayakumar, R. Rakkiyappan, Jin-de Cao, Xue-gang Tan. Mittag-Leffler stability analysis of multiple equilibrium points in impulsive fractional-order quaternion-valued neural networks[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(2): 234-246.https://doi.org/10.1631/FITEE.1900409
Introduction:
Professor Cao Jinde received his bachelor's degree from Anhui Normal University, his master's degree from Yunnan University and his doctor's degree from Sichuan University in 1986, 1989 and 1998 respectively, majoring in Mathematics / applied mathematics. At present, he is the chief professor of Southeast University, Dean of School of mathematics, director of Jiangsu Key Laboratory of network group intelligence, and director of complex systems and network science research center. He won the first national innovation competition award and the international Obada award. He is a global highly cited scientist in the fields of engineering, computer science and mathematics, an IEEE member, an academician of the European Academy of Sciences, an academician of the European Academy of Sciences and arts, an academician of the Pakistan Academy of Sciences and an academician of the International Academy of systems and Control Sciences. Research directions include complex networks and complex systems, neurodynamics and optimization, and multi-agent systems.
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About this journal
Frontiers of Information Technology & Electronic Engineering (fitee for short, Chinese Name: information and electronic engineering Frontier (English), ISSN 2095-9184, CN 33-1389 / TP) is a comprehensive English academic monthly of information electronics, included by SCI-E and EI, with the latest impact factor 1.033. Formerly known as "Journal of Zhejiang University, English edition, Part C: computer and Electronics" founded in 2010, it is now the only Journal of the information and Electronic Engineering Department of the Chinese Academy of engineering. It covers computer, information and communication, control, electronics, optics and other fields. Article types include research papers, reviews, personal perspectives, reviews, etc. The current chief editors are pan Yunhe and Lu Xicheng, academicians of the Chinese Academy of engineering. The international peer review system is implemented, and the first time to convey opinions is generally within 2-3 months. Once the article is hired, it will be online quickly.
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