高阶非完整系统的适应调节

通过综合利用“加幂积分器”的方法、“不连续投影”技巧和state scaling技巧构造出了一个不连续的动态适应控制律,解决了一类高阶参数非完整系统的适应调节问题．且所求控制律能确保未知参数的估值在一个预先给定范围内．     

一类不确定非线性系统的适应H-infinity控制

主要讨论了一类具有不确定参数的非线性系统的通过适应输出反馈达到干扰衰减的问题．通过构造降维观测器,利用Backstepping方法设计输出反馈控制器,使闭环系统具有不确定参数的标准的增益问题可解,并使系统达到内稳定．     

自治非光滑时滞系统的有限时间稳定

主要讨论右端非光滑的自治时滞系统在Filippov解意义下的有限时间稳定问题.基于Filippov微分包含和非光滑的Lyapunov-Krasovskii泛函,提出自治非光滑时滞系统有限时间稳定的定义和比较原理,并给出有限时间稳定的Lyapunov定理.     

基于向量Liapunov函数不连续系统的稳定性研究

基于局部Lipschitz连续且正则(Clarke意义下)的向量Liapunov函数,讨论不连续自治系统的稳定性(Filippov解意义下)．通过定义一类新的向量Liapunov函数的“集值导数”,给出了关于不连续系统的广义比较原理．基于Lipschitz连续且正则的向量Liapunov函数,进一步的给出不连续自治系统的Liapunov稳定性定理．     

新型(E)-1-取代苯基-3-(3''''-取代吲哚基)-2-丙烯酮类化合物的合成和抗炎活性研究

设计合成了一系列新的席合物3a～3p, 其结构经 1H NMR, IR, LC/MS确证. 用化合物对小鼠耳部巴豆油炎症影响的炎症模型测定化合物3a～3i的生物活性, 结果表明, 化合物3d, 3f, 3g可明显抑制巴豆油致小鼠耳部炎症. 其抑制率分别为19.5%, 27.6%, 16.1%.     

Finite-time stability with respect to a closed invariant set for a class of discontinuous systems

This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of nonlinear systems with discontinuous right-hand sides in the sense of the Filippov solutions. When the Lyapunov function is Lipschitz continuous and regular, the Lyapunov theorem on finite-time stability with respect to a closed invariant set is presented.     

Uniformly ultimate boundedness for discontinuous systems with time-delay

The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed. Based on the Lyapunov-Krasovskii functional, the Lyapunov theorem for the globally strongly uniformly ultimate boundedness of retarded discontinuous systems is presented. Furthermore, the result is applied to a class of mechanical systems with a retarded discontinuous friction item.     

一类不连续系统关于闭不变集的有限时间稳定性研究

主要研究右端不连续系统在Filippov解意义下关于闭不变集(未必是紧集)的有限时间稳定问题.当Liapunov函数是Lipschitz连续的正则函数情况下,给出了相关的Liapunov稳定性定理.     

一类不连续时滞系统的一致最终有界性

主要讨论不连续的时滞自治系统,在Filippov解意义下的一致最终有界性问题．基于Lyapunov-Krasovskii泛函给出了全局强一致最终有界的Lyapunov定理,并将其应用到一类带有不连续摩擦项的时滞力学系统．     

ADAPTIVE REGULATION OF HIGH ORDER NONHOLONOMIC SYSTEMS

The problem of adaptive regulation of a class of high-order parametric non holonomic systems in chained-form was discussed. Using adding a power integrator technique and state scaling with discontinuous projection technique, a discontinuous adaptive dynamic controller was constructed. The controller guarantees the estimated value of unknown parameter is in the prescribed extent.