CAJ | 학술논문

考虑了一类具有非线性扰动的中立型时滞系统的鲁棒稳定性问题.系统状态的时滞是时变的.基于增广Lyapunov-Krasovskii泛函和自由权矩阵的方法,推导出保证系统在非线性扰动作用下渐近稳定的时滞依赖条件.所得到的判捂以线性矩阵不等式的形式给出.由于在估计Lyapunov泛函导数上界的过程中既没有进行模型变换,也没有引入不等式放缩技术,所以得到的结果有较小的保守性.最后,通过一个数值算例验证了所提方法的有效性以及较已有工作的改进.
고필료일류구유비선성우동적중립형시체계통적로봉은정성문제.계통상태적시체시시변적.기우증엄Lyapunov-Krasovskii범함화자유권구진적방법,추도출보증계통재비선성우동작용하점근은정적시체의뢰조건.소득도적판오이선성구진불등식적형식급출.유우재고계Lyapunov범함도수상계적과정중기몰유진행모형변환,야몰유인입불등식방축기술,소이득도적결과유교소적보수성.최후,통과일개수치산례험증료소제방법적유효성이급교이유공작적개진.
The robust stability problem for a class of neutral delayed systems with nonlinear perturbation is studied.The delay of the system's state is time-varying.Based on the augmented Lyapunov-Krasovskii functional and the free-weighting matrix method,a delay-dependent condition is derived to ensure the asymptotic stability of the system under nonlinear perturbation.The obtained criterion is expressed in terms of linear matrix inequalities.Since neither model transformation nor any inequality technique is involved in the process of estimating the upper bound of the derivative of Lyapunov functional,the result obtained is shown to be less conservative.Finally.a numerical example is provided to show the effectiveness of the proposed method and the improvement over the existing results.