title: New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components.
abstract: This paper deals with the problem of delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components. A novel Lyapunov-Krasovskii (L-K) functionals with triple integral terms which involves more information on the state vectors of the neural networks and upper bound of the successive time-varying delays is constructed. By using the famous Jensen's inequality, Wirtinger double integral inequality, introducing of some zero equations and using the reciprocal convex combination technique and Finsler's lemma, a novel delay-interval dependent stability criterion is derived in terms of linear matrix inequalities, which can be efficiently solved via standard numerical software. Moreover, it is also assumed that the lower bound of the successive leakage and discrete time-varying delays is not restricted to be zero. In addition, the obtained condition shows potential advantages over the existing ones since no useful term is ignored throughout the estimate of upper bound of the derivative of L-K functional. Using several examples, it is shown that the proposed stabilization theorem is asymptotically stable. Finally, illustrative examples are presented to demonstrate the effectiveness and usefulness of the proposed approach with a four-tank benchmark real-world problem.
authors.affiliation: Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu 632 115 India.
authors.forename: R
authors.initials: R
authors.lastname: Manivannan
authors.affiliation: Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu 632 115 India.
authors.forename: R
authors.initials: R
authors.lastname: Samidurai
authors.affiliation: Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210 096 China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Jinde
authors.identifier: 0000-0003-3133-7119
authors.initials: J
authors.lastname: Cao
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Alsaedi
keywords: Four-tank benchmark; Hopfield neural networks; Interval time-varying delay; Leakage delay; Lyapunov–Krasovskii functional; Neutral type