非均质Timoshenko梁的边界镇定

In this paper,the boundary stabilization of the Timoshenko equation of a nonuniform beam,with clamped boundary condition at one end and with bending moment and shear force controls at the other end,is considered.It is proved that the system is exponentially stabilizable when the bending moment and shear force controls are simultaneously applied.The frequency domain method and the multiplier technique are used.     

BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD

g1. IntroductionThe purpose of this paPer is to study the stabilization problem of TimoshenkO beamattached with a load of mass M at one end and forced by linear boundary feedback conirols.The system to be investigated in this paper is described as follows (see [1] for example):lthe::1::1'{;::f'5'>', (11)Here u1(t) and u2(t) are the boundary feedback coatrols of force and momellt respectivelythe meanings of all the other variables, functions and coefficients aJre the same as thosedescribed in…     

点时滞系统的反馈镇定

求解特征矩阵是镇定时滞系统的关键问题，本文给出了系统的特征根的代数重复度与几何重复度均为一般值的情况下特征矩阵的求法，即把它归结为求一组线性代数方程的问题，并得到了该方程组有组及对应于同一特征值的解向量组线性独立的充分条件。本文还提出了一种算法来处理系统对应于不同特征值的左行征向量线性相关情况下系统的镇定问题最后，举例说明了设计步骤。     

具有局部分布反馈与边界反馈耦合控制的非均质Timoshenko梁的指数镇定

本文研究具有局部分布反馈与边界反馈耦合控制的非均质Timoshenko梁的镇定问题,利用频域乘子方法,证明了系统能指数稳定     

最速反馈控制的不变性

变结构控制对系统模型和扰动具有一定的不变性是众所周知的事实。最速反馈控制是以其开关曲线为滑动曲线的变结构控制。本文用变结构控制理论来讨论修正了的最速反馈控制对一定范围的系统扰动具有完全的不变性,即完全能够抑制一定范围的扰动作用,而且闭环系统的所有轨线,在理论上,都以有限时间到达原点。这就为设计高效非线性反馈提供了一条有效途径,还给出了避免高频颤震来实现最速反馈控制的数字化办法。     

SISO多维控制系统的反馈镇定性及算法的数学机械化实现

从代数学的理想论以及代数簇理论,探讨了SISO多维控制系统的可反馈镇定条件,并给出反馈控制的表示.文中的主要结果建立在判定一个多变元多项式的零点集是否与由多项式刻画的凸集相交的前提之上,并用数学机械化方法实现了这一判定的过程.     

一类中立型时变非线性控制系统的镇定与控制

本文利用专著（１）￣（３）中的有关方法,讨论了一类具有滞后的中立型时变非线性控制系统的镇定与次优控制问题,得出了滞后量与非线性项的估计公式,并推广了文（４）,（５）的结果。     

PERMANENCE AND GLOBAL STABILITY OF A FEEDBACK CONTROL SYSTEM WITH DELAYS

This paper considers a feedback control systems of differential equations with delays. By applying the differential inequality theorem, sufficient conditions for the permanence of the system are obtained. Also, by constructing a suitable Lyapunov functional, a criterion for the global stability of the model is obtained.     

用负的状态反馈量控制和同步Lorenz系统

本文研究了Lorenz系统的控制与同步问题.利用负状态反馈的方法和Lyapunov稳定性理论,得到了能保证系统渐近稳定和同步的有关反馈增益的一些充分条件.最后,数值实验证实了理论分析的结果.     

PERMANENCE OF A DISCRETE SINGLE SPECIES SYSTEM WITH DELAYS AND FEEDBACK CONTROL

In this paper,a discrete single species system with time delays and feedback control is considered.Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained.The results show that the feedback control is harmless for the permanence of the species.     

DYNAMICS OF THE NONAUTONOMOUS SCHONER MODEL WITH FEEDBACK CONTROL AND DIFFUSION

This paper consider a nonautonomous schoner model with feedback control and diffusion. It is shown that the system can be made persistence. Then the existence and the uniqueness of the positive solutions and positive almost periodic solutions for corresponding periodic system and almost periodic system are also discussed.     

ABSOLUTE STABILITY OF CONTROL SYSTEM WITH MULTI-NONLINEAR FEEDBACK TERMS

ＡＢＳＯＬＵＴＥＳＴＡＢＩＬＩＴＹＯＦＣＯＮＴＲＯＬＳＹＳＴＥＭＷＩＴＨＭＵＬＴＩ－ＮＯＮＬＩＮＥＡＲＦＥＥＤＢＡＣＫＴＥＲＭＳ￥（廖晓昕，王晓君，舒卫华，吴卫华）ＬｉａｏＸｉａｏｘｉｎ；ＷａｎｇＸｉａｏｊｕｎ（Ｄｅｐｔ．ｏｆＭａｔｈｅｍａｔｉｃｓ，...     

THE EXISTENCE OF POSITIVE PERIODIC SOLUTIONS IN A LOGISTIC DIFFERENCE MODEL WITH A FEEDBACK CONTROL

Consider the following nonautonomous delayed periodic logistic difference model with feedback control termwhich describes the evolution of a single species. The existence of a positive periodic solution is established by using the method of Mawhin's coincidence degree. This work has important significance in both theory and applications.     

ON THE PERSISTENT PROPERTY OF A DELAYED NON-AUTONOMOUS SCHOENER MODEL WITH FEEDBACK CONTROL

We study a delayed non-autonomous Schoener model with feedback control, which was proposed by Qiming Liu, Rui Xu and Pinghua Yang [8]. By applying a differential inequality and some analysis technique, we show that under some suitable assumptions, the feedback control variable has no influence on the persistent property of the system. Our result improves the existing ones.     

具有扩散和常捕获量及反馈控制的Logistie滞后系统的振动性

本文对含有扩散和常捕获量及反馈控制的Ｌｏｇｉｓｔｉｃ滞后模型进行了讨论，分别获得了一些关于正平衡态振动的充分条件．     

非均衡市场价格调节的纯增益反馈控制问题研究

本文在弱化现有文献对非均衡微观市场所受到外干扰的限制条件下 ,具体讨论了两种非均衡微观市场价格调节的纯增益反馈控制问题 ,得出了符合经济现实的结果并给出了实例 .     

EXISTENCE AND GLOBAL STABILITY OF POSITIVE PERIODIC SOLUTION IN A LOGISTIC INTEGRODIFFERENTIAL EQUATION WITH FEEDBACK CONTROL

1IntroductionThelogisticequation([8],l12])isoneoftheelementaryandmathematicallysimplemodelsusedtodescribethetempora1evolutionofasinglespeciespopulationinaconstantenvironment,inwhichaand5arepositiveconstants;aisrelatedtothereproductionofthespecieswhilebisrelatedtothecapacityofenvironmenttosustainthepopu1ation.Itisknownthatsoltitionsof(1.1)aremonotonicfunctionsoftwithlimN(t)=tifN(o)>o.Ithasbeenfoundthatsuchamonotonict-ooconvergencetofheequilibriumisnotrealisticincertainlaboratorypopulationsinte…     

一类非线性系统的输出反馈控制及全局渐近稳定性研究

考虑不可测状态是非线性的非严格三角形非线性系统的全局渐近稳定性问题.提出了一种新的反馈控制设计方法,构造一个线性动态输出补偿器,并全局稳定所控制的非线性系统.     

PERMANENCE IN A SINGLE SPECIES NON-AUTONOMOUS SYSTEM WITH PURE-DELAY AND FEEDBACK CONTROL

In this paper, we consider a single species non-autonomous system with pure-delay and feedback control. Sufficient conditions of integrable form for the permanence of species are established.