Passivity Analysis of Markov Jumping Delayed Reaction-Diffusion Neural Networks under Different Boundary Conditions
Joint Authors
Wang, Jing
Li, Ziwei
Wang, Xuelian
Kong, Qingkai
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This work analyzes the passivity for a set of Markov jumping reaction-diffusion neural networks limited by time-varying delays under Dirichlet and Neumann boundary conditions, respectively, in which Markov jumping is used to describe the variations among system parameters.
To overcome some difficulties originated from partial differential terms, the Lyapunov–Krasovskii functional that introduces a new integral term is proposed and some inequality techniques are also adopted to obtain the delay-dependent stability conditions in terms of linear matrix inequalities, which ensures that the designed neural networks satisfy the specified performance of passivity.
Finally, the advantages and effectiveness of the obtained results are verified via displaying two illustrated examples.
American Psychological Association (APA)
Li, Ziwei& Wang, Xuelian& Kong, Qingkai& Wang, Jing. 2020. Passivity Analysis of Markov Jumping Delayed Reaction-Diffusion Neural Networks under Different Boundary Conditions. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153620
Modern Language Association (MLA)
Li, Ziwei…[et al.]. Passivity Analysis of Markov Jumping Delayed Reaction-Diffusion Neural Networks under Different Boundary Conditions. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153620
American Medical Association (AMA)
Li, Ziwei& Wang, Xuelian& Kong, Qingkai& Wang, Jing. Passivity Analysis of Markov Jumping Delayed Reaction-Diffusion Neural Networks under Different Boundary Conditions. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153620
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153620