Abstract
This study investigates the robust stability problem in the presence of uncertain parameters for a class of stochastic neutral-type systems with mixed time-varying delays, where external disturbance and nonlinearity are considered together. The nonlinear function is assumed to satisfy the one-sided Lipschitz condition and the quadratic inner-boundedness condition. By constructing a modified Lyapunov–Krasovskii functional and using the free-weighting matrix technique, some new delay-dependent criteria for the stability of the problem are presented. In particular, the derivatives of the time-varying delays are no longer limited to being less than one. Finally, numerical examples are given to illustrate the effectiveness of the derived results.
Highlights
The stability analysis and stabilization of time-delay systems have been tackled over because time delays occur in many practical systems, such as those in the fields of aeronautics, chemistry, and mechanics [1]
Stochastic systems governed by Itô stochastic differential equations have attracted considerable attention, this being where the noise is described by Brownian motion [7, 8]
Combining with linear matrix inequality (LMI) (8), (9), (10) and (11), we find that ELV (ξ (t), t) < 0, i.e., it guarantees the asymptotic stability of system (6) in the mean square
Summary
The stability analysis and stabilization of time-delay systems have been tackled over because time delays occur in many practical systems, such as those in the fields of aeronautics, chemistry, and mechanics [1]. Cheng et al investigated the problem of robust stability criteria delay-dependent for neutral systems with interval time-varying delays and nonlinear perturbation [24]. Basic on a piecewise delay method, the authors obtained some new sufficient conditions to guarantee the asymptotic stability for neutral time-delay systems.
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