Liapunov相关论文
With a view to the researches on asymptotic properties for linear differential systems,the characteristic number is tran......
The matrix equation AX-XB=C is quite well known and basic. It plays an important role in algebra and applied mathematics......
研究了模拟带p-n结的绝缘半导体器件的双极飘流扩散方程组的德拜长度、消失极限(拟中性极限).同时给出了扩散方程组的极限解.
The......
为了得到一种一般性的队形控制方法,首先给出了一种新的队形表示图:吸引线段式主-从队形图和组群机器人的系统模型.然后基于上述成......
价格模型是研究商品价格变化的一种重要方法。根据生态学原理和经济动力学性质提出了一个含时滞和扩散的价格竞争模型。在经济参数......
The cellular neural networks with delay (DCNN’s) are investigated, and some new sufficient conditions on asymptotical s......
The exponential stability of the delayed cellular neural networks (DCNN’s) is investigated. By dividing the network sta......
In this paper, based on new Lyapunov function, the asymptotic properties of the dynamic neural system with asymmetric co......
A mobile robot is one of the well-known nonholonomic systems. In this paper, a new adaptive tracking controller for the ......
工程技术实际问题中,如运动系统,自动控制系统等,往往提出这样的问题,如何设计一个稳定的系统;设计的系统在什么条件下稳定;什么......
本文根据单机无穷大母线系统的线性化模型,建立了系统状态方程,并确定了包括电能两个指标(电压,频率)在内的几个系统状态量的目标......
本文提出一种基于约束区域的神经网络模型,构造了它的Liapunov能量函数,运用LaSalle不变性原理证明了它的大范围渐近稳定性,探讨了......
利用Liapunov泛函方法讨论了中立型Lurie间接控制系统的绝对稳定性,得到了一些保证系统在Hurwitz角域K[0,k]绝对稳定的充分条件,并给出了应用结论的实例
The Li......
利用 L iapunov函数方法讨论经典 L iapunov稳定性与动力系统的全局稳定性的关系。并且给出全局稳定的一个充分条件。
The relati......
In this paper, without assuming the boundedness, monotonicity and differentiability of the activation functions, the co......
以确定性的Solow增长模型为背景,文章将随机扰动引入其中.因此模型中的要素方程从ODE过渡到It SDE,并对其作某些定性的分析.进而运......
为了简化逆推设计,拓宽其适用对象,证明了一类非线性系统的渐近稳定性,并将这类系统作为控制器设计的目标,提出了逆推和直接构造2......
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7......
By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the e......
Generalized synchronization between two continuous dynamical systems is discussed. By exploring the Liapunov stability t......
本文运用了Liapunov函数研究部分变元的方法,得到非自治系统零解的稳定、渐进稳定及全局渐进稳定的判定定理,推广了相关文献的部分......
我们在场并且关于 ofm 维的逻辑延期 ecologic 建模的平衡状态讨论部分摆动,并且获得一些简单标准。......
In this paper, global asymptotic stability for cellular neural networks with time delay is discussed using a novel Liapu......
本文通过对自治系统Liapunov第一定理证明思想的深入探讨,放宽了其稳定性条件。对于非自治系统,在文献及以上结果的基础上,给出了......
泛函微分方程稳定性的研究,一直是数学家们最重要的课题之一,Liapunov第二方法仍然是主要工具,其中有两种较重要的思想方法,一种是......
本文推广了经典的稳定性,有界性定理及关于渐近稳定的充分条件。去掉了原始定理中,函数的导数在其定义域内常负或定负的要求,并应......
Liapunov functionals of simple form have been used to de-rive new sufficient conditions for uniform asymptotic stability......
考虑发育生物学中一类反应扩散方程组,在分歧点附近利用Liapunov-Schmidt约化技巧,得到了从平凡解分歧出来的随参数变化的非平凡解......
应用Liapunov-Schmidt方法研究了一类生物学中的非线性反应扩散方程,在分歧点附近,得到了从平凡解分歧出来的非平凡解的近似解析表......
本文给出了一组关于部分变元一致渐近稳定性的判定定理,其中V函数可以为关于部分变元的变号函数。......
本文利用Liapanov函数讨论了一类菲线性系统的全局渐近稳定性态。在研究自动调节系统和实际运用中,以往都是运用BKL定理,本文利用......
本文利用一类新的 Liapunov 函数,给出了两个判别方程 X=F(t,x(s))(a≤s≤0)解的渐近平稳性定理,并结合例子给出了它们的应用,所得......
构造出一类广泛的指数函数乘二次函数的Liapunov函数,讨论了变系数非线性系统的一致稳定性.......
研究了一般动态市场价格系统的均衡价格的存在性和稳定性问题·得到了均衡价格稳定的条件。......
本文研究了带挠性附件双自旋卫星的姿态稳定性问题。假定挠性双自旋卫星由无内部活动部件的半刚性平台、半刚性转子以及固连于平台......
The attraction domain of memory patterns and exponential convergence rate of the network trajectories to memory patterns......
In this paper,we directly use the linear norm Liapunov function to investigate the stability of the linear discrete larg......
The second-order nonlinear system with delaybeing considered. Four theorems on the stability of zero solution, the bound......
BOUNDEDNESS AND UNIFORM BOUNDEDNESS RESULTS FOR CERTAIN NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF FOU
Sufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bou......
In this paper,Liapunor-Schmidt reduction and singularity theory are employed todiscuss Hopf and degenerate Hopf bifurcat......
RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS
The periodic motion and stability for a class of two-degree-of freedom nonlinear oscillating systems are studied by usin......
By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations......
The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the......
THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR EVOLUTION EQUATIONS AND APPLICATIONS TO P. D.
The main purpose of this paper is to discuss the existence and asymptotic behavior of solutions forand for which the suf......