一类具有接种和饱和发生率的SIR—SVS传染病模型的全局稳定性

研究一类具有接种和饱和发生率的SIR-SVS传染病模型．通过构造适当的Lyapunov函数证明了当基本再生数〈1时,无病平衡点是全局渐近稳定的;当基本再生数〉1时,给出了地方病平衡点全局渐近稳定的充分条件．     

尾流自导鱼雷射击诸元解算模型研究

通过对舰船尾流和尾流自导鱼雷导引机制的研究,讨论了尾流自导鱼雷射击瞄点选择的依据和方法,分析原有模型的不足,建立了新的尾流自导鱼雷攻击解算模型。新模型修正了原有模型因简化和近似而造成的误差,使计算结果更加精确,并首次采用迭代的方法进行求解,通过实例验证了模型及解算方法的正确性。     

Insensitive energetic microspheres DAAF/RDX fabricated by facile molecular self-assembly

Insensitive energetic materials are promising in the defense weapons field. However, energetic materials still suffer from great challenges and the concern about their safety limits their utilization. In this work, insensitive energetic explosive 3,3′-diamino-4,4′-azoxyfurazan/hexahydro-1,3,5-trinitro-1,3,5-triazine (DAAF/RDX) microspheres were fabricated by self-assembly method. Rod-like DAAF/RDX was prepared by mechanical ball milling for comparison. DAAF/RDX composites with different mass ratios (90:10, 80:20, and 70:30) were obtained. The morphologies and structures of as-obtained DAAF/RDX composites were characterized by scanning electron microscopy (SEM), powder x-ray diffraction (PXRD) and fourier transform infrared spectroscopy (FT-IR). The results showed that DAAF/RDX microspheres exhibited regular shaped microspheres with sizes from 0.5 to 1.2 μm. There was no crystal transition during the modification process. The thermal properties of as-obtained materials were then evaluated by differential scanning calorimetry (DSC) and materials studio software. DAAF/RDX microspheres showed an advanced decomposition peak temperature compared with rod-like DAAF/RDX. The binding energy and peak temperature values at zero β_i (T_P0) of DAAF/RDX (90:10) increased by 36.77 kJ/mol, 1.6 °C, and 58.11 kJ/mol, 12.3 °C compared to DAAF/RDX (80:20) and DAAF/RDX (70:30), indicating the better thermal stability of DAAF/RDX (90:10). The characteristic drop height (H₅₀) of DAAF/RDX (higher than 100 cm) composites was higher than that of raw RDX (25 cm), suggesting significant improvements in mechanical safety. The preparation of DAAF/RDX microspheres is promising for the desensitization of RDX and useful for the formation of other materials and future wide applications.     

Preparation and characterization of HMX/EVA/hBNNSs micro-composites with improved thermal stability and reduced sensitivity

Hexagonal boron nitride nanosheets(HBNNSs)have huge potential in the field of coating materials owing to their remarkable chemical stability,mechanical strength and thermal conductivity.Thin-layer hBNNSs were obtained by a liquid-phase exfoliation of h-BN powders and incorporated into EVA coatings for improving the safety performance of 1,3,5,7-tetranitro-1,3,5,7-tetrazocane(HMX).HBNNSs and ethylene-vinyl acetate copolymer(EVA)were introduced to HMX by a solvent-slurry process.For com-parison,the HMX/EVA and HMX/EVA/graphene(HMX/EVA/G)composites were also prepared by a similar process.The morphology,crystal form,surface element distribution,thermal decomposition property and impact sensitivity of HMX/EVA/hBNNSs composites were contrastively investigated.Results showed that as prepared HMX/EVA/hBNNSs composites were well coated with hBNNSs and EVA,and exhibited better thermal stability and lower impact sensitivity than that of HMX/EVA and HMX/EVA/G composites,suggesting superior performance of desensitization of hBNNSs in explosives.     

Stability in a general oligopoly model

We analyze a general but parsimonious price competition model for an oligopoly in which each firm offers any number of products. The demand volumes are general piecewise affine functions of the full price vector, generated as the “regular” extension of a base set of affine functions. The model specifies a product assortment, along with their prices and demand volumes, in contrast to most commonly used demand models. We identify a fully best response operator which is monotonically increasing so that the market converges to a Nash equilibrium, when firms dynamically adjust their prices, as best responses to their competitors' prices, at least when starting in one of two price regions. Moreover, geometrically fast convergence to a common equilibrium can be guaranteed for an arbitrary starting point, under an additional condition for the price sensitivity matrix.     

联合作战中作战单元决策演化博弈研究

利用演化博弈理论,探讨了联合作战中担负相同作战任务的作战单元间其策略选择根据利益变化的演化过程,建立了复制动态方程并求得平衡点解,通过复制动态的相位图直观反映了博弈的演化稳定策略,并通过Malab软件对作战单元策略选择与收益关系进行了仿真,其行为选择的演化结果与相位图展示具有一致性。研究结论表明,收益大小及变化是作战单元策略改变的重要依据,最后针对提高作战单元间的策略稳定性提出对策建议.     

一类不确定非线性时滞系统的鲁棒容错控制

针对一类非线性时滞系统,基于Lyapunov稳定性理论,讨论了不确定参数系统的鲁棒容错控制问题。当故障在失效的传感器以及失效的执行器发生时,且非线性不确定性满足一定的增益条件,通过基于线性矩阵不等式(LMI)方法各自给出了故障在传感器和执行器失效发生时,闭环系统渐近稳定的存在条件及相应控制器的设计方法。一个设计算例的仿真结果表明了该方法是有效的。     

舰炮一维弹道修正弹对岸校射方法研究

一维弹道修正弹是近年来兵器领域新研制的一种低成本信息化弹药,目前对其校射方法尚未有成熟的标准。为此,在分析一维弹道修正弹对岸射击工作原理、计算有无控弹试射的基础上,提出舰炮武器系统使用有控一维弹道修正弹的校射新方法,并确定了校射的组数和发数。分别对使用新方法前后的射击效能进行了数值仿真,结果表明本方法能极大地提高舰炮武器系统的射击效能。所提方法对舰炮武器作战效能的提高具有较强的理论价值和一定的参考意义。     

Evolutionary determinants of war

This paper considers evolutionarily stable decisions about whether to initiate violent conflict rather than accepting a peaceful sharing outcome. Focusing on small sets of players such as countries in a geographically confined area, we use the concept of evolutionary stability in finite populations. We find that players’ evolutionarily stable preferences widen the range of peaceful resource allocations that are rejected in favor of violent conflict, compared to the Nash equilibrium outcomes. Relative advantages in fighting strength are reflected in the equilibrium set of peaceful resource allocations.     

不同射频对车载转管机枪射击精度的影响

为研究不同射频对车载转管机枪射击精度的影响,以某型车载转管机枪为对象,建立了该武器系统的刚柔耦合虚拟样机模型。通过仿真计算车体在制动状态时,机枪以不同射频进行射击的过程,得到了不同射频下车体、机枪架座和枪管的振动特性以及射弹散布。通过对不同射频下仿真曲线对比分析,可以得出射频对机枪射击精度的影响程度。仿真研究结果为该武器的研究与设计优化提供了理论支持。