title: Delay-dependent stability of neutral system with mixed time-varying delays and nonlinear perturbations using delay-dividing approach.
abstract: This paper studies delay-dependent robust stability problem for neutral system with mixed time-varying delays and nonlinear perturbations. Based on the delay-dividing approach, a novel Lyapunov functional is constructed, and a novel delay-dependent stability criterion is derived to guarantee the robust stability of the neutral system. Expressed in terms of linear matrix inequalities, the stability condition can be checked using the numerically efficient Matlab LMI Control Toolbox. Two numerical examples are provided to demonstrate the effectiveness and the reduced conservatism of the analysis result.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Binzhou University, Shandong, 256603 China.
authors.forename: Fang
authors.initials: F
authors.lastname: Qiu
authors.affiliation: Department of Mathematics, Southeast University, Nanjing, 210096 China ; Department of Mathematics, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000 Pakistan ; Department of Mathematics, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
keywords: Neutral system; Nonlinear perturbation; Robust stability; Time-varying delay