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具有多个执行机构Lurie系统的时滞相关稳定性
引用本文:张志飞,李仁发. 具有多个执行机构Lurie系统的时滞相关稳定性[J]. 南京航空航天大学学报, 2000, 32(2): 200-205
作者姓名:张志飞  李仁发
作者单位:湘潭工学院信息与控制研究所,湘谭,411201
基金项目:国家自然科学基金 !(编号 :6 99740 31)资助项目
摘    要:Lurie时滞控制系统是工程实践中经常遇到的一类重要的非线性控制系统,本文根据微分方程理论,提出了不确定性具有多个执行机构的Lurie时滞控制系统时滞相关稳定的充分性判据,并给出系统衰减速度的估计方法。该方法仅需假定时滞有界,因而其结论适扩用于变时滞的系统。文末给出应用本文结果的两个应用实例,并与相关成果进行了比较,计算结果表明了本文方法的有效性。

关 键 词:时滞控制系统 鲁棒稳定 微分方程 矩阵测度

On Delay-Dependent Stability of Lurie Control Systems with Stationary Elements
Zhang Zhifei,Li Renfa. On Delay-Dependent Stability of Lurie Control Systems with Stationary Elements[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2000, 32(2): 200-205
Authors:Zhang Zhifei  Li Renfa
Abstract:Lurie control system is an important nonlinear control system in engineering. The problems of the robust stability and decay estimates of Lurie control system are considered. A new criterion is given by applying the differential theorem, the decay rate for such systems is also obtained. The only assumption is that the delay is bounded, the results can be applicable to systems with varying time delay. Finally, two numerical computations are presented for illustration and comparison with previous results. The result shows that the method is valid.
Keywords:control system with time-delay  robust stability  differential equation  measure of matrix
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