高维无穷时滞NFDE概周期解的存在性和稳定性

讨论高维的中立型泛函微分方程ddtx(t)-∫0-∞q(s)x(t+s)ds=A(t,x)x(t)+f(t,xt)的概周期解问题。利用Ch空间,矩阵测度和Krasnoselski不动点定理获得了其概周期解的存在性与惟一性定理。特别地,当q=0时给出了存在惟一且一致稳定概周期解的条件,推广了文献[1～5]的结果。     

基于合作博弈的智能集群自主聚集研究

智能集群是指由大量智能体构成、采用自组织策略协作完成任务的群体。以无人车集群系统协同监视再入体着靶过程为任务背景,开展智能集群自组织策略的关键技术研究。设计了无人车集群执行再入体着靶协同监视的集群行为模式,提出了基于合作博弈的智能集群自组织策略,各智能体以实现群体聚集为“合作目标”,以降低自身能量消耗为“竞争目标”,开展博弈,基于微粒群算法规划局部路径,最终使群体系统涌现出聚集行为。仿真实验验证了设计的自主聚集策略的有效性。     

Non‐zero‐sum nonlinear network path interdiction with an application to inspection in terror networks

A simultaneous non‐zero‐sum game is modeled to extend the classical network interdiction problem. In this model, an interdictor (e.g., an enforcement agent) decides how much of an inspection resource to spend along each arc in the network to capture a smuggler. The smuggler (randomly) selects a commodity to smuggle—a source and destination pair of nodes, and also a corresponding path for traveling between the given pair of nodes. This model is motivated by a terrorist organization that can mobilize its human, financial, or weapon resources to carry out an attack at one of several potential target destinations. The probability of evading each of the network arcs nonlinearly decreases in the amount of resource that the interdictor spends on its inspection. We show that under reasonable assumptions with respect to the evasion probability functions, (approximate) Nash equilibria of this game can be determined in polynomial time; depending on whether the evasion functions are exponential or general logarithmically‐convex functions, exact Nash equilibria or approximate Nash equilibria, respectively, are computed. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 139–153, 2017     

Bullwhip and reverse bullwhip effects under the rationing game

When an unreliable supplier serves multiple retailers, the retailers may compete with each other by inflating their order quantities in order to obtain their desired allocation from the supplier, a behavior known as the rationing game. We introduce capacity information sharing and a capacity reservation mechanism in the rationing game and show that a Nash equilibrium always exists. Moreover, we provide conditions guaranteeing the existence of the reverse bullwhip effect upstream, a consequence of the disruption caused by the supplier. In contrast, we also provide conditions under which the bullwhip effect does not exist. In addition, we show that a smaller unit reservation payment leads to more bullwhip and reverse bullwhip effects, while a large unit underage cost results in a more severe bullwhip effect. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 203–216, 2017     

基于FrFT的差分跳频通信LFM干扰抑制算法

针对差分跳频通信系统抗LFM干扰能力不足的问题,利用差分跳频信号和LFM干扰信号调频斜率参数的不同,通过估计采样信号中LFM干扰信号的调频斜率K和旋转阶次α参数,结合分段、参数估计和均值处理提高估计精度,进一步在采样信号的分数阶时频域二维参数平面(α,μ)中利用LFM干扰信号频带外的平面均值替代LFM信号成分,实现对差分跳频通信中LFM干扰信号的抑制。仿真结果表明,该算法可有效抑制差分跳频信号中LFM干扰信号,提高信噪比约11 d B。     

基于改进差分进化算法的内弹道参数优化

火炮内弹道参数直接影响其计算结果,内弹道参数优化设计是内弹道分析计算的重要环节。基于经典内弹道计算模型,以火药内弹道计算中最为敏感的燃速指数及其燃速系数为设计参量,以最大膛压及弹丸初速的计算值与测试值一致性为目标,对差分进化算法群体的初始化、变异因子及变异模式进行了改进,对某型火炮的内弹道参数进行了优化计算。优化设计结果表明改进后的差分进化算法满足内弹道设计工程实践要求,为内弹道参数优化设计提供了一种有效的算法。     

多舰对抗研究

研究了海上军事实战模式抽象出的一追二和一二对抗的两大问题。解决一追二问题的方法共讨论了三种：初始角的平分线航向法、瞬时角的平分线航向法、中点轨迹法。给出了确定性的数学模型、以及选代计算方法。一二对抗问题的结论可以由—一对抗问题的结论经过迭加而得到。而—一对抗问题的解决是以定性微分对策的双边极值原理为基础展开的。     

基于微分对策理论的信息战模型

基于兰彻斯特作战理论,提出了一个新的微分对策模型来研究在交战双方均有信息战系统协助作战的条件下的最优火力分配策略。又运用微分对策理论对该模型进行分析和求解,并对所得到的结论作出符合战术意义的解释。     

在有限区间中用FFT求微分方程数值解的几个问题

本文讨论了在有限区间中运用FFT求解微分方程数值解时遇到的几个问题,并提出了解决方法。     

正扰动下一类RN上临界增长的椭圆型方程的正解的存在性

本文讨论了如下方程:并得到了它的正解的存在性,其中g(x,U)为U~(P-1)的低阶扰动。它是文[1]的继续。