Synchronization in Finite/Fixed Time for Markovian Complex-Valued Nonlinear Interconnected Neural Networks With Reaction-Diffusion Terms
- Authors
- Song, Xiaona; Man, Jingtao; Ahn, Choon Ki; Song, Shuai
- Issue Date
- 1-10월-2021
- Publisher
- IEEE COMPUTER SOC
- Keywords
- Finite/fixed-time synchronization; Markovian nonlinear INNs; complex domain; reaction-diffusion terms; secret communication
- Citation
- IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, v.8, no.4, pp.3313 - 3324
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
- Volume
- 8
- Number
- 4
- Start Page
- 3313
- End Page
- 3324
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/136100
- DOI
- 10.1109/TNSE.2021.3110414
- ISSN
- 2327-4697
- Abstract
- This paper considers a novel class of nonlinear interconnected neural networks (INNs) where the Markovian jump parameters and reaction-diffusion terms are both involved. The nonlinear INNs are studied in the complex domain, which is a meaningful attempt in the research on INNs. Then, by designing a suitable nonlinear controller and employing the Lyapunov functional and algebraic inequality technologies, a finite/fixed-time synchronization criterion in probability can be obtained for the N subsystems. Note that the criteria for synchronization in finite time and fixed time are obtained with only one controller and integrated into a unified theorem. A secret communication example is presented, such that the validity and practicability of this paper can be verified.
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