Dissipativity analysis of discrete-time Markovian jumping neural networks with time-varying delays. Issue 6 (3rd June 2018)

• Record Type: Journal Article
• Authors: Syed Ali, M.; Meenakshi, K.; Gunasekaran, N.; Murugan, Kadarkarai
• Is Part Of: Journal of difference equations and applications. Volume 24:Issue 6(2018)
• Page Start: 859
• Page End: 871
• Publication Date: 2018-06-03
• Subjects: Dissipativity -- discrete-time -- neural networks -- Markovian jumping -- time-varying delays; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2018.1433171
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract: This paper investigates the problem of dissipativity analysis for discrete-time Markovian jumping neural networks with time-varying delays. Based on an appropriate Lyapunov–Krasovskii functional and by using the latest free-weighting matrix method, a sufficient condition is established to ensure that the neural networks under consideration is strictly (Q, S, R )-γ -dissipative. The derived conditions are presented in terms of linear matrix inequalities. A numerical example is presented to illustrate the effectiveness of the proposed results.