区间时变时滞线性系统鲁棒稳定性的新判据

New Robust Stability Criteria for a Class of Linear Systems with Interval Time-varying Delay Systems

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。

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.