On linear generalized neutral differential delay systems

In this paper, the class of linear generalized neutral differential delay systems with time-invariant coefficients is studied. These kinds of systems are inherent in many physical and engineering phenomena. Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.     

Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms

In this paper, the exponential stability of a class of delayed neural networks described by nonlinear delay differential equations of the neutral type has been studied. By constructing appropriate Lyapunov functional and using the linear matrix inequality (LMI) optimization approach, a series of sufficient criteria is obtained ensuring the existence, uniqueness and global exponential stability of an equilibrium point of such a kind of delayed neural networks. These conditions are dependent on the size of the time delay and the measure of the space, which is usually less conservative than delay-independent and space-independent ones. And, these networks are generalized without assuming the boundedness and differentiability of the activate functions. The proposed LMI condition can be checked easily by recently developed algorithms. The results are new and improve the earlier work. Examples are provided to demonstrate the effectiveness and applicability of the proposed criteria.     

A delay-dependent stability criterion for linear neutral delay systems

A new stability criterion for linear neutral delay systems is developed in this note. Based on Park's inequality, a new delay-dependent stability criterion is derived. A numerical example is proposed to illustrate the less conservatism of the obtained results.     

一类具有时滞的不确定系统的鲁棒稳定性

本文利用Alekseev公式和Bellman－Gronuwall不等式,讨论了一类具有时滞的不确定中立型微分系统的鲁棒稳定性问题,给出了不确定系统在具有时滞的反馈控制下是渐近稳定的充分条件。     

一类二阶中立型时滞差分方程的渐近性态

给出中立型时滞差分方程：△^2[x(n)—∑i=1^mpix(n-ιi)] q(n)x^2(n-σ)=0的所有解要末渐近趋近于零，要末振动的充要条件。     

太平天国外交政策的实质及其作用初探

太平天国的对外政策,有坚持原则,维护国家主权、民族尊严的一面,也有妥协“柔弱”的一面。太平天国革命领袖们在十几年的斗争中,对外的政策无论在政治、经济、军事、科技文化方面,既坚持对外友好,吸收“洋兄弟”参加革命活动,又对外国立埠、鸦片贸易等原则问题坚持严正立场,从而对太平天国政权的存在与发展,对同清王朝的斗争,对抵制列强侵略起了一定作用。正确总结太平天国外交政策的经验教训具有重要的意义。     

二阶脉冲中立型泛函微分方程周期解的存在性

利用重合度理论研究了在脉冲条件下二阶非线性脉冲中立型泛函微分方程[x(t) cx(t-τ)]″=f(t,x(t-σ)),t>t0,t≠tkΔx(tk)=gk(x(tk)),Δx′(tk)=hk(x′(tk)),k=1,2…的周期解的存在性,得出了该周期解存在的充分条件。     

二阶中立型差分方程解的振动性

该文讨论了一类二阶非线性中立型差分方程解的振动性,扩充并改进了此类方程的已有结果。     

平板扫描仪的散射光效应

本文从光源作用于测试图极端阶调区域后对中性灰还原影响的角度测量了平板扫描仪的散射光效应，为此设计了置于黑色和白色背景的等距离分布灰色块测试图。实验结果表明，三种被测试的不同类型的平板扫描仪确实存在散射光效应。     

论中国古典舞之传统文化内核

随着中国在国际上的影响力日益加强,世人对中国元素的关注渐渐浓厚,而中国古典舞这一艺术门类在传递中国传统文化的过程中起着重要的作用,通过古典舞的历史进程及“中和之气”的角度,阐释其与传统文化的内核。