度量空间的非标准特征(I)

本文首先引进度量空间非标准包的定义,然后将讨论非标准包的许多性质。在此基础上,用非标准方法来刻划度量空间中的各种紧性。最后应用这些结果,将证明ＡｒｚｅｌａＡｓｃｏｌｉ定理,并在较弱的条件下,得到Ｂａｎａｃｈ不动点定理。     

基于Jerk模型的一种改进多传感器数据融合算法

简要介绍了目前存在的一些机动模型和基于状态估计的滤波算法。将Jerk模型与强跟踪滤波算法有机地结合起来,并提出了一种通过时空综合分析的测量方差自适应估计方法以优化强跟踪滤波算法中次优渐消因子和滤波增益的在线选择,同时结合多传感器数据融合具有改善滤波精度的性质,最终给出了一种基于Jerk模型的改进多传感器数据融合算法。最后,通过蒙特卡罗仿真验证了该算法的有效性。     

任意三角域上 C1 有理插值的一种新算法

本文描述了任意三角域上C~1有理插值的一种组合算法,其特点是构造简单,计算方便,插值函数与文[3][4]比较,有着较高的逼近精度。最后给出了插值式的代数精度集和计算实例。     

关于带紧扰动的增生算子和单调算子之特征值问题的几点注记

研究了带紧扰动的增生和单调算子的特征值问题,所得结果补充和改进了Guan和Kartsatos的相应结果。     

一类非线性反应扩散系统

用非线性分析的方法,研究一类带混合非齐次边界条件的肺动脉毛细血管中血红蛋白的氧化反应扩散系统,并引进局部上、下解的概念,借助构造局部上、下解,在任一有限时间区间内得到解的存在性,从而证明了解是整体存在的.     

一种推广的连续情形经济投资模型

随着序列情形费用型投资模型和折扣投资模型的解决，本文对其进行连续推广，并给出一个明确的停止规则。     

极大单调算子零点的逼近问题

设H为实Hilbert空间,C为H的非空闭凸子集,T:C→2H为极大单调算子,假设S(T)={x∈H:0∈Tx}≠Φ。 xk∈H,βk>0,求 xk及ek满足( )　　xk+ek∈ xk+βkT( xk),‖ek‖≤ηk‖xk- xk‖, k≥0,其中,ηk≥0,supk>0ηk<1,βk≥β>0。设PC:H→C为H到C上的最近点投影算子,定义xk+1=PC( xk-ek),k≥0,证明了若T满足(S)型条件,则{xk}k≥0强收敛于T的某个零点。     

模糊合成算子在作战方案综合评估的应用研究

在分布式交互仿真中,根据仿真结果对作战方案进行综合评估,运用模糊综合评判的方法进行评判,并着重对合成算子的选择进行分析,确定乘与有界算子M(·, )为比较适合对作战方案评估的算子.     

A cooperative interference resource allocation method based on improved firefly algorithm

To deal with the radio frequency threat posed by modern complex radar networks to aircraft, we researched the unmanned aerial vehicle (UAV) formations radar countermeasures, aiming at the solution of radar jamming resource allocation under system countermeasures. A jamming resource allocation method based on an improved firefly algorithm (FA) is proposed. Firstly, the comprehensive factors affecting the level of threat and interference efficiency of radiation source are quantified by a fuzzy comprehensive evaluation. Besides, the interference efficiency matrix and the objective function of the allocation model are determined to establish the interference resource allocation model. Finally, A mutation operator and an adaptive heuristic are integtated into the FA algorithm, which searches an interference resource allocation scheme. The simulation results show that the improved FA algorithm can compensate for the deficiencies of the FA algorithm. The improved FA algorithm provides a more sci-entific and reasonable decision-making plan for aircraft mission allocation and can effectively deal with the battlefield threats of the enemy radar network. Moreover, in terms of convergence accuracy and speed as well as algorithm stability, the improved FA algorithm is superior to the simulated annealing algorithm (SA), the niche genetic algorithm (NGA), the improved discrete cuckoo algorithm (IDCS), the mutant firefly algorithm (MFA), the cuckoo search and fireflies algorithm (CSFA), and the best neighbor firefly algorithm (BNFA).