Feedback stabilization of a class of distributed parameter systems with control constraints

The feedback stabilization problem for a class of infinite-dimensional linear systems with control constraints is investigated. The approach is developed using a state space system framework which is based on a semigroup formulation. In contrast to the previous works in this direction, it is not assumed that the C₀ semigroup we deal with is a semigroup of contractions. The main result links the problem with the positive invariance of appropriate polyhedral sets. Verifiable necessary and sufficient conditions for this latter property are stated.     

Strong stability of the mono-tubular heat exchanger equation with output feedback

We investigate asymptotic behavior of the C₀-semigroup T(t) associated with the mono-tubular heat exchanger equation with output feedback by a perturbation method. It is shown that T(t) is bounded if a constraint is satisfied by the parameters and the spatial distribution function. Further, applying the Arendt-Batty-Lyubich-Vu theorem, a criterion is established to judge strong stability of T(t).     

二阶线性非齐次抽象微分方程的Cauchy问题

本文利用半群理论证明了二阶线性非齐次抽象微分方程的 Caucby 问题解的存在唯一性,并且得到了解的积分表达式.     

一个特殊边界反馈下的Euler-Bernoulli梁的适定性和稳定性

考虑了一个特殊边界反馈下的Euler-Bernoulli梁方程, 它的边界条件不符合一般的工程设计原则，共轭变量同时出现在同一边界上. 使用Riesz基方法证明了该系统在通常的能量状态空间中是适定的，而且当时间趋于无穷时,系统的轨迹趋于零特征子空间. 这个例子说明至少在理论上,柔性结构振动控制的边界控制律的设计可以有更多的灵活性.     

On the connection between the exponential stability of C0-semigroups and the admissibility of a certain Sobolev space

Let T be a strongly continuous semigroup on a Banach space X and A its infinitesimal generator. We will prove that T is exponentially stable, if and only if, there exist p[1,∞) such that the space is admissible to the system Σ(A,I,I), defined below (i.e for all f belonging to the Sobolev space the convolution T*f lies in .     

一类半线性微分方程的渐近概自守温和解

在解决某些实际问题的时候,渐近概自守函数比渐近概周期函数更具有现实意义.为了研究渐近概自守函数在微分方程中的应用,依据不动点定理和N’Guerekata教授关于微分方程的研究,给出了一类半线性微分方程的渐近概自守温和解的存在性和唯一性.     

一种俄制ГOCT18977-89总线通信偶发故障剖析

主要介绍一种俄制ГOCT18977-89总线在通信过程中的偶发故障,同时结合故障现象、模块工作流程及器件使用方法对故障机理进行了详细分析,提出了故障的解决方法。通过工程实例,说明复位电路设计的重要性。     

Analyticity of Semigroups Associated with Thermoviscoelastic Mixtures of Solids

In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional theory of mixtures of thermoviscoelastic solids. Our main goal is to present conditions which insure the analyticity and the lack of analyticity of the corresponding semigroup.     

弱正则*-半群的E-酉覆盖和纯覆盖

证明了半群S和T的子直积是弱正则*-半群时S和T也是弱正则*-半群.给出弱正则*-半群的子直积的构造.利用这一构造定理,研究弱正则*-半群的E-酉覆盖和纯覆盖.     

以置换法求铰支Γ型刚架的位移

介绍一般梁的挠曲线与悬臂梁的挠曲线的关系研究结果,给出了求解各梁位移的置换法原理.鉴于对铰支Γ型刚架的求解中稀有几何类方法的情况,运用所述的置换法,把解梁问题的手段应用于Γ型刚架的解算.具体求解过程是依挠曲线的连续性借置换法位移方程处理,所用的运算为初等计算,较简便易记,结果是解析解.即提出了一种解铰支Γ型刚架的新方法.