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含有时滞的非线性投资系统模型 总被引:2,自引:0,他引:2
祁传达 《数学的实践与认识》2004,34(1):29-35
在分析投资时滞特征的基础上 ,讨论投资时滞的计算方法 ,给出具有役龄结构并带有时滞的投资系统模型 . 相似文献
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给出了带有时滞的中性技术进步的资产投资模型,此模型为含有非局部和时滞边界条件的分布参数系统.运用泛函分析和积分方程理论,证明了系统解的存在性与唯一性,得到系统解的解析表达式. 相似文献
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研究了一类单时滞线性系统变结构控制律的设计方法,基于模糊T-S模型把一类单时滞线性系统化为若干个时滞子系统,然后对时滞子系统设计变结构控制律,取全局控制作为系统的控制律,从而达到对单时滞线性系统系统进行控制的目的,给出了单时滞系统的滑模稳定的条件.仿真表明控制策略的有效性. 相似文献
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时滞速度反馈对强迫自持系统动力学行为的影响 总被引:3,自引:0,他引:3
研究强迫自持振动系统因时滞反馈产生的主共振解及其分岔.通过对强迫非自治系统的时滞反馈控制,得到所要研究的数学模型.讨论对应的线性化系统使平凡平衡态失稳出现周期解的稳定性临界条件.特别关注主共振及分岔.结果表明,稳定的主共振解随着时滞的变化周期性地出现在系统中.同时,也给出了不稳定的主共振关于时滞变化的区域,在理论方面给出了系统出现概周期运动的时滞区域.数据模拟证实了理论结果. 相似文献
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线性广义时滞系统的H∞输出反馈控制器 总被引:4,自引:0,他引:4
本文首先给出了广义时滞系统稳定的一个充分条件,接着讨论了线性广义时滞系统的H∞输出反馈控制,给出了控制器存在的充分条件,同时利用线性矩阵不等式(LMI)的方法,给出控制器的设计,最后举例说明本文方法的可行性. 相似文献
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基于观测器的模糊时滞系统指数稳定的一种设计方法 总被引:1,自引:0,他引:1
研究了一类模糊时滞系统的指数稳定问题.首先利用T-S模型对非线性不确定性时滞系统进行建模,在此基础上设计了基于观测器的模糊状态反馈控制器,通过巧妙选取Lyapunov函数给出了模糊闭环时滞系统的条件及稳定裕度且模糊反馈增益和模糊观测器增益可通过求解线性矩阵不等式获得. 相似文献
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含有时滞的固定资产投资模型解的性质 总被引:15,自引:1,他引:14
给出带有时滞的一类固定资产投资模型,此模型为含有非局部和时滞边界条件的分布参数系统.运用泛函分析和积分方程理论,证明了系统解的存在唯一性,得到解的解析表达式,进而讨论了解的稳定性. 相似文献
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讨论了一类非定常经济系统的Lyapunov稳定性,给出了经济系统稳定和渐进稳定的充分条件和稳定的必要条件,同时得到与系统稳定性有关的临界积累率的解析表达式.结果可为经济政策的制定提供理论依据. 相似文献
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§ 1 IntroductionAlong with the development of science and technology,the capacity and output offishing have increased.For example,in China,traditional and backward manual tools areused and the inshore coastlines are limited for fishing,but now gradual improvements inthe technical efficiency of fishing gear and vessels have radically changed the fishing sce-nario.With the advent of sophisticated fishing instruments,the fishing scope has been ex-panded from inshore area to offshore area.As a … 相似文献
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Sergey Foss Takis Konstantopoulos Thomas Mountford 《Journal of Theoretical Probability》2018,31(2):684-704
The Poisson hail model is a space-time stochastic system introduced by Baccelli and Foss (J Appl Prob 48A:343–366, 2011) whose stability condition is nonobvious owing to the fact that it is spatially infinite. Hailstones arrive at random points of time and are placed in random positions of space. Upon arrival, if not prevented by previously accumulated stones, a stone starts melting at unit rate. When the stone sizes have exponential tails, then stability conditions exist. In this paper, we look at heavy tailed stone sizes and prove that the system can be stabilized when the rate of arrivals is sufficiently small. We also show that the stability condition is, in a weak sense, optimal. We use techniques and ideas from greedy lattice animals. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2004,57(3):421-433
This paper deals with the behavior of positive solutions to a reaction–diffusion system with homogeneous Neumann boundary conditions describing a three species food chain. A sufficient condition for the local asymptotical stability is given by linearization and also a sufficient condition for the global asymptotical stability is given by a Lyapunov function. Our result shows that the equilibrium solution is globally asymptotically stable if the net birth rate of the first species is big enough and the net death rate of the third species is neither too big nor too small. 相似文献
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刘会茹 《数学的实践与认识》2017,(12):263-268
讨论了企业投资系统的Lyapunov稳定性,得到了企业投资系统渐进稳定的充分条件和稳定的必要条件,并给出了企业投资系统的临界积累率的表达式,这个问题的研究对于促进我国经济高速、稳定持续增长具有重要的理论意义和现实指导价值. 相似文献
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基于年龄结构的种群系统的最优收获控制 总被引:1,自引:0,他引:1
研究一类带年龄结构的非线性种群系统的最优收获问题.建立单种群阶段结构模型,对成年、幼年种群同时捕获,得到了单种群阶段结构模型在正平衡点渐近稳定的充分条件;并给出了脉冲控制时间间隔的上界估计值.分别对其幼年种群和成年种群捕获问题,给出以最大捕获可持续均衡收获(M SY)为目标的最优捕获策略. 相似文献
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In this paper, an urban economic growth model with endogenous infrastructure allocation is given by introducing the two-variable utility function for city's inhabitant. A twodimensional dynamical system is obtained by solving the utility maximization problem and it is proved that this system has the unique non-zero equilibrium which is a saddle. The model has the unique optimal growth and an optimal rate of infrastructure allocation. 相似文献
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Guanghan Peng 《Communications in Nonlinear Science & Numerical Simulation》2013,18(3):559-566
In this paper, a new lattice model of traffic flow is proposed with the consideration of the optimal current difference for two-lane system. The linear stability condition is derived through linear stability analysis, which shows that the optimal current difference term can improve the stability of traffic flow. The mKdV equation is obtained through nonlinear analysis. Thus the space of traffic flow is divided into three regions: the stable region, the metastable region and the unstable region respectively. Moreover, numerical simulation confirms that the traffic jam can be suppressed efficiently by considering the optimal current difference effect in extended lattice model of two-lane traffic flow. 相似文献
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A mixed Fourier-Chebyshev spectral method is constructed for three-dimensional vorticity equations with unilateral periodic boundary condition. The generalized stability and the convergence are analyzed. The optimal error estimation is given. The technique in this paper is also suitable for other nonlinear problems. 相似文献
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具功能反应和投放率的非自治捕食-食饵系统的周期解和持久性 总被引:2,自引:1,他引:1
研究一类具Beddington-DeAngeli类功能性反应和投放率的Lotka-Volterra非自治的捕食-食饵系统,证明了此系统在一定条件下是一致持续生存的,通过构造适当的Lyapunov函数得到系统存在唯一全局渐进稳定正周期解的充分条件.并举例说明条件的可行性. 相似文献