| 含非线性扰动的变时滞中立系统时滞相关稳定性新条件 |
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| 引用本文： | 周鑫,张合新,惠俊军,李天梅,孙鹏.含非线性扰动的变时滞中立系统时滞相关稳定性新条件[J].数学的实践与认识,2014(15). |
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| 作者姓名： | 周鑫 张合新 惠俊军 李天梅 孙鹏 |
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| 作者单位： | 第二炮兵工程大学控制工程系; |
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| 基金项目： | 国家自然科学基金(61304103) |
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| 摘 要： | 研究一类含非线性扰动和混合时变时滞的中立型系统时滞相关鲁棒稳定性问题.通过构造包含三重积分项的Lyapunov-Krasovskii的泛函,结合积分不等式和自由权矩阵技术,建立了基于线性矩阵不等式(LMI)形式的离散时滞和中立时滞均相关的稳定性新判据.判据扩大了系统稳定所允许的最大时滞上界范围,具有更低的保守性.利用MATLAB的LMI工具箱进行了数值仿真,仿真算例验证了所提出的稳定性判据的有效性.
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| 关 键 词： | 中立系统 Lyapunov-Krasovskii泛函 鲁棒稳定 非线性扰动 线性矩阵不等式 |
New Delay Dependent Stability Criteria for Neutral Systems With Mixed Time-Varying Delays and Nonlinear Perturbation |
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| Abstract: | This paper investigates delay-dependent robust stability problem for neutral system with mixed time-varying delays and nonlinear perturbation.By constructing a new Lyapunov-Krasovskii functional which contains some triple integral terms,combined with integral inequalities and free-weighting matrix technique,a neutral and discrete delay-dependent stability criterion for the system is formulated in terms of linear matrix inequalities(LMIs).This criterion enlarges the upper bound of the time-delay and has less conservative.Using MATLAB Toolbox LMI,made some numerical simulation.The simulation results demonstrated the effectiveness of the proposed stability criterion. |
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| Keywords: | neutral system lyapunov-krasovskii functional robust stability nonlinear perturbations linear matrix inequality |
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