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带有离散与分布延时的不确定中立型系统的时滞相关的鲁棒镇定(英文)
Delay-dependent Robust stabilization of uncertain neutral systems with discrete and distributed delays
【摘要】 研究带有离散与分布延时的不确定中立型系统的时滞相关的鲁棒镇定/稳定问题,得出了新的镇定/稳定法则.利用新的Lyapunov-Krasovsk ii泛函,则得到了此类系统的基于LM I的低保守性的镇定/稳定法则。最后用数值算例证明本方法较历史上一些存在的结果提高了时滞的允许上界.
【Abstract】 The problem of stabilization/stability for uncertain neutral systems with discrete and distributed delays is solved.A new stabilization/stability scheme is presented.Using new Lyapunov-Krasovskii functionals,less conservative stabilization/stability conditions are derived for such systems based on linear matrix inequalities(LMI).Numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.
【关键词】 时滞相关法则；
鲁棒镇定/稳定；
线性矩阵不等式；
中立型延时系统；
状态反馈镇定；
时不变不确定性；
【Key words】 delay-dependent criterion； robust stabilization/stability； linear matrix inequality(LMI)； neutral delay systems； state feedback stabilization； time-invariant uncertainties；
【Key words】 delay-dependent criterion； robust stabilization/stability； linear matrix inequality(LMI)； neutral delay systems； state feedback stabilization； time-invariant uncertainties；
【基金】 Supported by the National Natural Science Foundation of China(10571036)
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2007年02期
- 【分类号】O231
- 【下载频次】107