Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties

Xinmiao Liu, Jianwei Xia, Xia Huang and Hao Shen

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: In this paper, the issue of generalized synchronization for the coupled Markovian neural networks with randomly occurring parameter uncertainties is investigated. The coupling connection topology of such neural networks is assumed to be governed by the Markov process. Moreover, by means of a set of stochastic Bernoulli sequences, the random occurrence of the parameter uncertainties is adequately considered in coupled neural networks. Subsequently, via constructing a proper Lyapunov–Krasovskii functional together with employing some novel inequality techniques, some synchronization criteria are developed to ensure the resulting error system is not only stochastically synchronized, but also satisfies a prescribed generalized dissipative property. Based on these criteria, the gains of the admissible controller are obtained explicitly. Eventually, the practicability of the proposed synchronization scheme is verified via an illustrated example.

Keywords: Randomly occurring parameter uncertainties; Coupled neural networks; The Markovian jumping process; Generalized synchronization (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119317340
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317340

DOI: 10.1016/j.physa.2019.123070

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().