A delay decomposition approach for robust dissipativity and passivity analysis of neutral‐type neural networks with leakage time‐varying delay. Issue 5 (6th January 2015)

• Record Type: Journal Article
• Authors: Nagamani, Gnaneswaran; Radhika, Thirunavukkarasu; Balasubramaniam, Pagavathi
• Is Part Of: Complexity. Volume 21:Issue 5(2016)
• Page Start: 248
• Page End: 264
• Publication Date: 2015-01-06
• Subjects: dissipativity -- leakage time‐varying delay -- linear matrix inequality -- Lyapunov method -- neutral‐type neural networks; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21652
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This article presents the robust dissipativity and passivity analysis of neutral‐type neural networks with leakage time‐varying delay via delay decomposition approach. Using delay decomposition technique, new delay‐dependent criteria ensuring the considered system to be ( Q, ℛ, S ) ‐γ dissipative are established in terms of strict linear matrix inequalities. A new Lyapunov–Krasovskii functional is constructed by dividing the discrete and neutral delay intervals into m and l segments, respectively, and choosing different Lyapunov functionals to different segments. Further, the dissipativity behaviors of neural networks which are affected due to the sensitiveness of the time delay in the leakage term have been taken into account. Finally, numerical examples are provided to show the effectiveness of the proposed method. © 2015 Wiley Periodicals, Inc. Complexity 21: 248–264, 2016