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研究了滞后区间系统的鲁棒稳定性和镇定问题。基于Ｌｙａｐｕｎｏｖ原理，给出了判断滞后区间系统的时滞独立渐近稳定的充分条件，这个充分条件是一个代数Ｒｉｃｃａｔｉ不等式方程存在正定解。进一步，利用这个充分条件得到了镇定问题的解，所设计的静态线性反馈控制律保证区间闭环系统内部稳定。对国产某型飞机运动系统的分析，说明本文的结果是有用的。
The robust stability and stabilization of hysteretic interval systems are studied. Based on the Lyapunov principle, sufficient conditions for the independent asymptotic stability of delay systems to be given in delay interval are given. The sufficient condition is that there exists a positive definite solution to an algebraic Riccati inequality equation. Further, the solution of the stabilization problem is obtained by using this sufficient condition. The static linear feedback control law is designed to ensure the internal stability of the interval closed-loop system. The analysis of a certain type of aircraft motion system in China shows that the result of this paper is useful.