一类中立型时滞系统的相关稳定性

基于李雅普诺夫泛函方法,研究了离散时滞和中立型时滞相等的系统稳定性问题,同时也研究了两类时滞不等的混合时滞系统的稳定性.对区间进行了四等分分解,在构造的李雅普诺夫泛函中引入了二重积分项,对积分项的导数进行时滞等分处理,利用线性矩阵不等式分析技巧和李雅普诺夫稳定性定理获得保守性较小的时滞系统相关稳定性判定依据.     

太赫兹技术与在太赫兹波段的超光速研究

首先综述了太赫兹电磁辐射的性质和特点、太赫兹电磁辐射的产生和探测、以及太赫兹技术的应用.文章重点介绍了太赫兹波段的超光速研究进展,这里以介绍英国Strathclyde大学Klaas Wynne等人的若干实验结果为主.     

具有时滞的细胞神经网络的全局渐近稳定性分析

研究了一类具有时滞的细胞神经网络的稳定性问题,首先证明了这类系统的平衡点的存在性,然后利用Lyapunov泛函方法结合不等式分析技巧,在引入一系列参数的条件下,给出了系统平衡点唯一和平凡解全局渐近稳定的充分条件,该条件与时滞无关且推广和改进了已有文献的结果.     

一类关于浮游生物的时滞微分模型的局部Hopf分岔分析

主要研究时滞Lotka-Volterra模型,提出了关于浮游生物的两种群相互有增强作用的微分方程模型.将时滞τ作为分岔参量,讨论了正平衡点及分岔的存在性.进一步应用规范理论与中心流形定理,判断了分岔的方向与稳定性,并给出了实例与数值模拟.     

New criteria on delayed state feedback stabilization for stochastic systems with time-varying delay

The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied.By using Jensen’s integral inequality and combining with the free weighting matrix approach,new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities.Meanwhile,the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved.Numerical examples are given to illustrate the effectiveness of the proposed methods.     

变时滞非线性细胞神经网络稳定性分析

通过构造新的Lyapunov-Krasovskii泛函和线性矩阵不等式(linear matrix inequatity,LMI),研究变时滞非线性细胞神经网络渐近稳定性,利用牛顿-莱布尼兹公式,一些参数矩阵表达出系统变量之间的关系。从而得出一个具有变时滞相关的全局渐近稳定性判据,其扩展并改善了以前文献的结果。数值及仿真例子验证了结果的有效性。     

无穷级数求和的理论分析

阐述了级数的Cauchy,Cesaro,Abel3种求和法,并论证了在某种条件下3种方法之间的相互区别与紧密联系,从而加强了学生对求和方法的理解和运用.     

Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method

The asymptotic Lyapunov stability of one quasi-integrable Hamiltonian system with time-delayed feedback control is studied by using Lyapunov functions and stochastic averaging method. First, a quasi-integrable Hamiltonian system with time-delayed feedback control subjected to Gaussian white noise excitation is approximated by a quasi-integrable Hamiltonian system without time delay. Then, stochastic averaging method for quasi-integrable Hamiltonian system is used to reduce the dimension of the original syst...     

40-Gb/s all-optical digital 4-bit priority encoder employing cross-gain modulation in semiconductor optical amplifiers

High-speed all-optical logic circuits have attracted much attention because of their important roles in signal processing in next-generation optical networks.The digital encoder is widely used in binary calculation,multiplexing,demultiplexing,address recognition and data encryption.A priority encoder allows the existence of multiple valid inputs simultaneously,identifies the priority of the request signals and encodes the priority.We propose and experimentally demonstrate an all-optical 4-bit priority encoder for return-to-zero signals at 40 Gbit/s based on cross-gain modulation in semiconductor optical amplifiers.Detuning fil-ters after semiconductor optical amplifiers are employed to improve the output performance.Correct logic bit sequences and clear open eye patterns with extinction ratios exceeding 10 dB are achieved.     

基于综合运输网络的logit多路径分配模型的求解算法研究

在综合运输路网中增加虚拟的节点和虚拟路段,将交通方式间的转运（换乘）延误当做路段阻抗处理,通过使用现有的交通分配模型和算法去处理带有转向延误（换乘）的交通问题。