A study on ⟨(Q, S, R)-γ⟩-dissipative synchronisation of coupled reaction–diffusion neural networks with time-varying delays. Issue 4 (12th March 2018)

• Record Type: Journal Article
• Authors: Ali, M. Syed; Zhu, Quanxin; Pavithra, S.; Gunasekaran, N.
• Is Part Of: International journal of systems science. Volume 49:Issue 4(2018)
• Page Start: 755
• Page End: 765
• Publication Date: 2018-03-12
• Subjects: Complex dynamical networks -- 〈(Q, S, R)-γ〉-dissipativity -- reaction–diffusion -- synchronisation; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2017.1422814
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This study examines the problem of dissipative synchronisation of coupled reaction–diffusion neural networks with time-varying delays. This paper proposes a complex dynamical network consisting of N linearly and diffusively coupled identical reaction–diffusion neural networks. By constructing a suitable Lyapunov–Krasovskii functional (LKF), utilisation of Jensen's inequality and reciprocally convex combination (RCC) approach, strictly〈 ( Q, S, R ) - γ 〉 -dissipative conditions of the addressed systems are derived. Finally, a numerical example is given to show the effectiveness of the theoretical results.