CAJ | 학술논문

研究了变时滞退化Lurie控制系统的绝对稳定性问题.基于Lyapunov稳定性理论,利用线性矩阵不等式方法给出了系统绝对稳定的判别准则.讨论了变时滞退化Lurie直接控制系统和间接控制系统的绝对稳定性,得到绝对稳定性的充分条件仅依赖于时滞导数的大小,且时滞可以是无界函数：最后给出了实例说明本文结果的有效性.
연구료변시체퇴화Lurie공제계통적절대은정성문제.기우Lyapunov은정성이론,이용선성구진불등식방법급출료계통절대은정적판별준칙.토론료변시체퇴화Lurie직접공제계통화간접공제계통적절대은정성,득도절대은정성적충분조건부의뢰우시체도수적대소,차시체가이시무계함수：최후급출료실례설명본문결과적유효성.
In this paper, we consider the absolute stability for singular Lurie control systems with time-varying delay. Based on Lyapunov stability theory and linear matrix inequalities, absolute stability criteria are derived. The absolute stability for singular Lurie type direct control systems and indirect control systems with time-varying delay is discussed respectively. The result depends on the size of delay derivative and the delay can be unbound functions. Finally, an example indicates the effectiveness of the results.