摘要
利用李亚普诺夫函数和线性矩阵不等式方法,研究具有时滞的脉冲型Lurie控制系统的绝对稳定性,给出了系统绝对稳定的若干充分条件,这些条件与时滞无关且对脉冲的限制较宽松.有些条件要求系统矩阵A为赫尔维茨矩阵,另一些条件不要求A为赫尔维茨矩阵,这表明脉冲的存在能使系统的特性发生改变,同时也说明了具有时滞的脉冲型Lurie控制系统的动态特性比具有时滞的Lurie控制系统的动态特性更复杂.
This paper discussed the stability of impulsive Lurie control systems with multiple nonlinearities and time-delay. Some sufficient conditions guarantee the absolute stability of the systems established by using the method of Lyapunov functions and linear matrix inequality approach, these conditions are independent of time-delay and the limits to the impulse are loosely. Some conditions require the system matrix to be a Hurwitz matrix and some conditions do not, implying that the existence of impulse causes the changes of characteristics of the systems, and compared with Lurie control systems with time-delay, the dynamics of impulsive Lurie control systems with time-delay are more complex than that of Lurie control systems with time-delay.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2005年第9期39-42,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(60274007
60474011)
湖北省自然科学基金资助项目(2004ABA055)
中国博士后科学基金资助项目(2003033462)
华中科技大学博士后基金资助项目.
