关于Bellman－Gronwall型积分不等式的推广

推广了连续函数、非负连续函数、非负单调非减（非增）函数的Ｂｅｌｌｍａｎ不等式和Ｇｒｏｎａｗａｌｌ不等式，得到了更为一般的形式．

一些商的单调性质

考虑了形如∫xap(t)f(t)dt∫xap(t)g(t)dt 和 ∑ki=1piai∑ki=1pibi的两种商在一定条件下所具有的单调性质,推广了某些熟知的结果.

关于解析Q_(T,s)空间

引入了复平面单位圆上一类全纯函数空间——QT,s空间,证明了QT,s空间的一些性质.

切贝雷夫不等式若干形式的推广

本文从切贝雪夫不等式的证明方法出发,得出几个有关实数列的不等式,并用极限的方法推广为它们的积分形式。

DISTURBANCE ATTENUATION FOR UNCERTAIN NONLINEAR CASCADED SYSTEMS

In present paper, the disturbance attenuation problem of uncertain nonlinear cascaded systems is studied. Based on the adding one power integrator technique and recursive design, a feedback controller that solves the disturbance attenuation problem is constructed for uncertain nonlinear cascaded systems with internal stability.