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跟踪-微分器的离散形式 总被引:81,自引:2,他引:81
本文利用“等时区方法”确定出二阶离散系统最速控制综合函数,井依此构造出离散形式的跟踪一微分器.数值仿真表明,这种跟踪一微分器跟踪输入信号既快速、无超调,又无颤振,且能给出较好的微分信号. 相似文献
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二阶跟踪—微分器的频率特性 总被引:12,自引:0,他引:12
本文给出二阶跟踪—微分器的频率特性 ,此频率特性类似于二阶线性低通滤波器的频率特性 ,但具有线性系统所没有的优点 ,即通带内有较小的相移 ,且无谐振现象 .同时 ,文中指出频率特性与跟踪参数和正弦输入信号幅值之间的关系就是一个简单的“平移” 相似文献
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研究基于Runge-Kutta方法的波形松弛离散过程,得到新的刚性微分-代数系统的收敛理论,及该类系统解的存在性和惟一性,并用具体算例测试该理论的有效实用性. 相似文献
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《数学的实践与认识》2019,(23)
利用一种基于跟踪微分器的泰勒展开预测(Taylor Expansion Forecasting,TEF)模型与ARIMA相结合的混合预测模型,预测未来股票价格的走势.并以阿纳达科石油和宝洁公司两只股票进行实证,结果表明混合预测模型较单一的ARIMA模型具有更好的预测效果.最后将混合模型用于预测这两个公司近期的股票价格,预测结果表明,在短期内,阿纳达科石油的股票价格先下跌而后有所回升,宝洁公司的股票价格有上涨的趋势. 相似文献
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《数学的实践与认识》2015,(16)
针对离散时间模糊控制系统的状态估计问题,设计出一种新颖的多时刻依赖型模糊状态观测器.与已有结果不同,所设计的模糊状态观测器设计不仅依赖于当前时刻的模糊隶属函数,还依赖于过去时刻的模糊隶属函数;这些特性为状态估计设计引入更多的自由度,可以得到保守性显著降低的模糊状态观测器.此外,针对衍生出多时刻模糊求和问题,还提出了一种新型松弛变量技术来进一步降低模糊状态估计问题的保守性.特别地,本文所设计的模糊观测器属于可求解的一组线性矩阵不等式,所以具有较好的可实现性.最后,通过一组仿真实验来验证本文结果的优越性. 相似文献
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A new methodology for the stability analysis of pairwise triangularizable and related switching systems 总被引:2,自引:0,他引:2
We consider the asymptotic stability of the time-varying dynamicsystem : = A(t)x, A(t) Rn x n, A(t) A= {A1, ..., Am}, where Ai is Hurwitz and where a set of non-singularmatrices Ti j exist such that any pair of matrices {Ti j AiTi j1, Ti j Aj Ti j1}, i, j {1, ..., m}, areupper triangular. Switching systems of this form are referredto as pairwise triangularizable switching systems. It can beestablished that (a) pairwise triangularizability is not sufficientto guarantee the existence of a common quadratic Lyapunov functionfor the linear time-invariant dynamic systems Ai : = Ai x; (b) additional conditions can be specified which guaranteeasymptotic stability of the switching system . In this paperwe also show that pairwise triangularizability is not even sufficientto guarantee asymptotic stability of the switching system .We also show that the method of proof of stability in (b), whichdoes not assume the existence of a common quadratic Lyapunovfunction, can be used to prove the asymptotic stability of moregeneral switching systems (systems that are not pairwise triangularizable).Finally, we show that our results can be used as the basis forthe design of practical control systems; namely, for the designof an automobile speed switched controller with guaranteed stabilityproperties. 相似文献
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A definition of the discrete filled function is given in this paper. Based on the definition, a discrete filled function is proposed. Theoretical properties of the proposed discrete filled function are investigated, and an algorithm for discrete global optimization is developed from the new discrete filled function. The implementation of the algorithms on several test problems is reported with satisfactory numerical results. 相似文献
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Galois环和Z/(m)环上完全非线性函数的性质 总被引:3,自引:0,他引:3
本文把完全非线性函数推广到了有限Abel群上,利用特征谱讨论了Z/(m)上Bent函数与GF(pe)上bent函数以及完全非线性函数定义之间的关系;给出Galois环与Z/(m)上最佳线性逼近的特征谱表示,得到完全非线性函数在某种程度上能抵抗最佳线性逼近攻击的结论;并给出一种Galois环与Z/(m)环上完全非线性函数的构结方法. 相似文献
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一类四阶非线性微分方程解的有界性及稳定性 总被引:11,自引:0,他引:11
运用Liapunov函数方法,研究了一类四阶非线性微分方程解的有界性及稳定性,得到了解的有界性及零解的全局渐近稳定性的充分条件。 相似文献
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In this paper, the robust D-stability problem (i.e. the robusteigenvalue-clustering in a specified circular region problem)of linear discrete singular time-delay systems with structured(elemental) and unstructured (norm-bounded) parameter uncertaintiesis investigated. Under the assumptions that the linear nominaldiscrete singular time-delay system is regular and impulse-free,and has all its finite eigenvalues lying inside a specifiedcircular region, a new sufficient condition is proposed to preservethe assumed properties when structured and unstructured parameteruncertainties are added into the linear nominal discrete singulartime-delay system. When all the finite eigenvalues are justrequired to locate inside the unit circle of the z-plane, theproposed criterion will become the stability robustness criterion.For the case that the linear discrete singular time-delay systemis only subject to structured parameter uncertainties, by anillustrative example, the presented sufficient condition isshown to be less conservative than the existing one reportedrecently in the literature. 相似文献
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Jinling Zhou Yu Yang Tonghua Zhang 《Mathematical Methods in the Applied Sciences》2017,40(14):5370-5379
In this paper, by applying nonstandard finite difference scheme, we propose a discrete multigroup Susceptible‐Infective‐Removed (SIR) model with nonlinear incidence rate. Using Lyapunov functions, it is shown that the global dynamics of this model are completely determined by the basic reproduction number . If , then the disease‐free equilibrium is globally asymptotically stable; if , then there exists a unique endemic equilibrium and it is globally asymptotically stable. Example and numerical simulations are presented to illustrate the results. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
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Hailiang Liu. 《Mathematics of Computation》2000,69(230):583-608
This paper is concerned with the asymptotic convergence of numerical solutions toward discrete travelling waves for a class of relaxation numerical schemes, approximating the scalar conservation law. It is shown that if the initial perturbations possess some algebraic decay in space, then the numerical solutions converge to the discrete travelling wave at a corresponding algebraic rate in time, provided the sums of the initial perturbations for the -component equal zero. A polynomially weighted norm on the perturbation of the discrete travelling wave and a technical energy method are applied to obtain the asymptotic convergence rate.
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递推数列极限的初等求法和收敛渐近性 总被引:1,自引:0,他引:1
借助实例介绍一些非线性递推数列,特别是分式线性递推数列极限的初等求法。就一般分式线性递推数列,明确其收敛渐近性,并通过相关推论展示其应用。 相似文献
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For the prevention and control of brucellosis, it is important to investigate the mechanism of brucellosis transmission. Based on the characteristics of the spread of brucellosis, a susceptible-exposed-infectious-brucella (SEIB) delay dynamic model is proposed with the general incidence, elimination rate and shedding rate of pathogen.
Under biologically motivated assumptions, it shows the uniqueness of the endemic equilibrium, and investigates the global asymptotically stability of the disease-free equilibrium and the endemic equilibrium. The results suggest that the global stability of equilibria depends entirely on the basic reproduction number $R_0$
and time delay is harmless for the stability of equilibria. Finally, some specific examples and numerical simulations are used to illustrate the utilization of research results and reveal the biological significance of hypothesis $(H_7)$, which implies that the dynamics of brucellosis transmission depend largely on the development of the prevention and control strategies. 相似文献