Cohen-Grossberg神经网络的指数稳定性

研究了Cohen-Grossberg神经网络模型的指数稳定性．运用非线性测度方法证明了神经网络平衡点的存在性和惟一性，接着通过构造一个新颖的Lyapunov泛函，得到了神经网络指数稳定的全新充分条件，并给出了解的指数衰减的精确估计．与已有文献相比，文中给出的条件更为宽松且易于验证．     

脉冲时滞微分方程组振动性及渐近性

研究了一阶三维线性脉冲时滞微分方程组的振动性与渐近性,引入了弱振动的概念,给出引理解决了非振动解各分量间的符号关系,由此得到了若干振动性与渐近性的判别准则,并举例说明了准则的有效性.     

机器人多指手抓取动态稳定性分析

指出动态稳定性是评价机器人多指手执行抓取操作的一项重要指标,避免构造Lyapunov函数而给出了机器人多指手抓取稳定性研究的一种新方法,得到了抓取系统指数稳定的充分条件。     

ASYMPTOTIC EXPANSION AND ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE TIME-DEPENDENT NEUTRON TRANSPORT PROBLEM IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS

In this paper,the time-dependent neutron transport integro-differential equationin a nonuniform slab with generalized boundary conditions and initial value is considered forgeneral cases concerned with an arbitrary nonhomogeneous medium possibly with cavity,withthe anisotropic scattering and fission,and with continuous energy varying from null to any finiteconstant or from one positive constant to another positive constant.We prove that the correspon-ding neutron transport operator A has finite Spectrum points in any strip {λ|β_1≤R(?)λ≤β_2}whereβ_2>β1>-λ~*(λ~* is the essential infimum of v∑(x,v)),and obtain the asymptotic expansion ofthe time-dependent solution which exists and is unique.Furthermore,we give the existence ofthe dominant eigenvalue and indicate the asymptotic behavior of the neutron density as t→+∞.     

ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS

This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C_0-semigroup theory,we have proved that this problemhas a unique nonnegative solution and found the spectral property of the corresponding transportoperator.Finally we give the asymptotic behavior of the solution for this equation.     

非凸集上的集值非膨胀映象不动点定理

本文推广了[1]中的主要结果,得出一些非凸集上的集值非膨胀映象不动点定理,并使[4]中的结果成为本文主要定理的直接推论.