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考察了参激白噪声和脉冲信号联合作用下蔡电路的渐近P阶矩稳定性问题,得到该随机脉冲系统的比较系统,从而可由该确定性比较系统的稳定性得到原随机脉冲系统的渐近P阶矩稳定性.并从理论上得到能使该随机脉冲系统渐近P阶矩稳定的参数取值范围,即在稳定区域内取值的参数组合能够用脉冲方法对该随机蔡电路实现混沌控制.最后用数值仿真验证了理论结果的正确性. 相似文献
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《Journal of Differential Equations》2018,264(3):1750-1785
In this paper, we study a non-local coupled system arising in the modeling of the dynamics of dislocation densities in crystals. For this system, the global existence and uniqueness are available only for continuous viscosity solutions. In the present paper, we investigate the global time existence of this system by considering BV initial data. Based on a fundamental uniform BV estimate and the finite speed of propagation property of this system, we show, in a particular setting, the global existence of discontinuous viscosity solutions of this problem. 相似文献
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In this note we address the problem of finding the GM-estimator for the location parameter of a univariate random variable. When this problem is non-convex but d.c. one can use a standard covering method, which, in the one-dimensional case has a simple form. In this paper we exploit the structure of the problem in order to obtain d.c. decompositions with certain optimality properties in the application of the algorithm. Numerical results show that this general-purpose algorithm outperforms previous ad-hoc methods for this problem. 相似文献
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The Generalized Moment Problem with Complexity Constraint 总被引:1,自引:0,他引:1
In this paper, we present a synthesis of our differentiable approach to the generalized moment problem, an approach which
begins with a reformulation in terms of differential forms and which ultimately ends up with a canonically derived, strictly
convex optimization problem. Engineering applications typically demand a solution that is the ratio of functions in certain
finite dimensional vector space of functions, usually the same vector space that is prescribed in the generalized moment problem.
Solutions of this type are hinted at in the classical text by Krein and Nudelman and stated in the vast generalization of
interpolation problems by Sarason. In this paper, formulated as generalized moment problems with complexity constraint, we
give a complete parameterization of such solutions, in harmony with the above mentioned results and the engineering applications.
While our previously announced results required some differentiability hypotheses, this paper uses a weak form involving integrability
and measurability hypotheses that are more in the spirit of the classical treatment of the generalized moment problem. Because
of this generality, we can extend the existence and well-posedness of solutions to this problem to nonnegative, rather than
positive, initial data in the complexity constraint. This has nontrivial implications in the engineering applications of this
theory. We also extend this more general result to the case where the numerator can be an arbitrary positive absolutely integrable
function that determines a unique denominator in this finite-dimensional vector space. Finally, we conclude with four examples
illustrating our results. 相似文献
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Bilevel and multilevel programming: A bibliography review 总被引:17,自引:0,他引:17
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药动学随机过程模型 总被引:4,自引:0,他引:4
丁勇 《数学的实践与认识》2004,34(8):76-80
用随机过程的方法 ,建立了一种用于分析药物在体内吸收、分布、消除的模型 ,推导了该模型的高阶转移概率矩阵 ,并对应用问题进行了讨论 . 相似文献
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我国能源-环境-经济系统的区域间建模 总被引:3,自引:0,他引:3
李爱军 《数学的实践与认识》2007,37(6):11-17
本研究试图探讨用“自上而下”和“自下而上”相结合的建模方法,对我国二氧化硫和二氧化碳减排进行区域间建模.本研究以一个用于分析硫税的区域间波及影响、以及评价电力部门的脱硫技术的区域间可计算一般均衡模型为基础平台;从理论上探讨了如何对该模型进行扩展和改进.首先本研究对该模型的要点进行了阐述,强调了把能源技术模型融合在区域间可计算一般均衡模型中的建模方法.然后本研究对于实行环境税和排放权交易的环境经济效果进行了比较,用成本收益法分析了工业部门对减排技术的选择,并以前述模型为基础建立了区域间模型.本研究所提出的模型可以被用来从区域统筹的观点,对我国能源-环境-经济系统的可持续发展进行预测和分析.最后本研究提出应该从更新数据、研究环境政策和技术进步之间的关系等方面,进一步发展该模型. 相似文献
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模糊计划评审技术(F-PERT)中关键路径的规划解法 总被引:4,自引:0,他引:4
研究了模糊计划评审技术中关键路径的求解方法 .首先建立了模糊计划网络图中寻找关键路径的规划模型 ,指出该规划模型在模糊排序规则下可以转化为多目标线性规划问题 ,并给出了该类多目标线性规划问题的求解步骤 .最后的算例表明 ,文中提出的方法是切实可行的 . 相似文献
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The discriminatory processor sharing queues with multiple classes of customers (abbreviated as DPS queues) are an important but difficult research direction in queueing theory, and it has many important practical applications in the fields of, such as, computer networks, manufacturing systems, transportation networks, and so forth. Recently, researchers have carried out some key work for the DPS queues. They gave the generating function of the steady-state joint queue lengths, which leads to the first two moments of the steady-state joint queue lengths. However, using the generating function to provide explicit expressions for
the steady-state joint queue lengths has been a difficult and challenging problem for many years. Based on this, this paper applies the maximum entropy
principle in the information theory to providing an approximate expression with high precision, and this approximate expression can have the same first three moments as those of its exact expression. On the other hand, this paper gives efficiently numerical computation by means of this approximate expression, and analyzes how the key variables of this approximate expression depend on the original parameters of this queueing system in terms of some numerical experiments. Therefore, this approximate expression has important theoretical significance to promote practical applications of the DPS queues. At the same time, not only do the methodology and results given in this paper provide a new line in the study of DPS queues, but they also provide the theoretical basis and technical support for how to apply the information theory to the study of queueing systems, queueing networks and more generally, stochastic models. 相似文献
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该文采用复变函数方法,通过将裂纹尖端的应力和位移代入J积分的一般公式,推出了线弹性正交异性复合材料单层板受对称载荷作用的非弹性主方向的裂纹尖端犑积分的复形式- 复变函数积分的实部,证明了该J积分的路径无关性,得到了它的具体计算公式 相似文献
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多孔介质中可压缩混溶驱动问题是用非线性抛物型方程组来描述的.用Potempa格式求其数值解.证明了构造的求解方法满足极大值原理,从而可以保证饱和度的数值解在[0,1]范围内这一物理特性,同时还得到了解的收敛性. 相似文献
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In this paper, an iterative estimate of the multivariate density is proposed when the variables are binary in nature. Some properties of this estimate are also discussed. Finally, applications of this estimate are discussed in the areas of pattern recognition and reliability. 相似文献
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污染环境中三维竞争系统的生存阈值 总被引:4,自引:0,他引:4
本文用积分均值法,首次讨论了带有毒素影响的三维竞争系统的Lotka-Volterra模型,得到了各种群平均持续生存与绝灭的阈值.文中所得结论对环境污染以及生物种群影响的理论研究和实际应用有重要意义.文[5,6]的主要结论包含在本文的结果中. 相似文献
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Fernández F. R. Monroy L. Puerto J. 《Journal of Optimization Theory and Applications》1998,99(2):403-421
In this paper, we deal with multicriteria matrix games. Different solution concepts have been proposed to cope with these games. Recently, the concept of Pareto-optimal security strategy which assures the property of security in the individual criteria against an opponent's deviation in strategy has been introduced. However, the idea of security behind this concept is based on expected values, so that this security might be violated by mixed strategies when replications are not allowed. To avoid this inconvenience, we propose in this paper a new concept of solution for these games: the G-goal security strategy, which includes as part of the solution the probability of obtaining prespecified values in the payoff functions. Thus, attitude toward risk together with payoff values are considered jointly in the solution analysis. 相似文献
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在本文中,我们首先引入了一类新的关于松弛协强制映射的广义变分不等式组,通过用度量投影的方法,我们证明了这类广义变分不等式组解的存在性和唯一性.我们也建立了一类新的算法来逼近这一不等式组的解,本文的结果使得近期相关结果成为本文的特殊情况. 相似文献