【摘要】 研究了一类具有区间时变时滞线性不确定系统的鲁棒稳定性问题。通过构造合理的李雅普诺夫函数,并且使用辅助变量以及广义状态法,得出了区间时变时滞系统的时滞相关鲁棒稳定性新判据。同现有方法不同,该方法由于没有对时滞参数导数的限制,可以用于快时变时滞系统。数值算例表明了方法的有效性。更多还原

【Abstract】 The robust stability of a class of linear systems with interval time-varying delay systems is investigated.By constructing an appropriate type of Lyapunov fanction and using the auxiliary variables and generalized states methods,the new delay-dependent robust stability criteria is derived.Unlike existing methodologies,because there are no restrictions on the derivative of the time delay,the proposed method can allow fast time-varying delay.A numerical example shows the effectiveness of the proposed criteria.更多还原