离散时间BAM神经网络周期解的存在性

利用迭合度连续定理研究了具有周期系数的离散时间BAM神经网络周期解的存在性,得到了比原有结果更优化的结论。     

Temperature-dependent interfacial properties of hydrophobically end-modified poly(2-isopropyl-2-oxazoline)s assemblies at the air/water interface and on solid substrates

We describe herein the properties at the air/water (A/W) interface of hydrophobically end-modified (HM) poly(2-isopropyl-2-oxazoline)s (PiPrOx) bearing an n-octadecyl chain on both termini (telechelic HM-PiPrOx) or on one chain end (semitelechelic HM-PiPrOx) for different subphase temperatures and spreading solvents using the Langmuir film balance technique. The polymer interfacial properties revealed by the π–A isotherms depend markedly on the architecture and molecular weight of the polymer. On cold water subphases (14 °C), diffusion of PiPrOx chains onto water takes place for all polymers in the intermediate compressibility region (5 mN m⁻¹). At higher subphase temperatures (36 and 48 °C), the HM-PiPrOx film exhibited remarkable stability with time. Brewster angle microscopy (BAM) imaging of the A/W interface showed that the polymer assembly was not uniform and that large domains formed, either isolated grains or pearl necklaces, depending on the polymer structure, the concentration of the spreading solution and the subphase temperature. The Langmuir films were transferred onto hydrophilic substrates (silica) by the Langmuir–Blodgett (LB) technique and onto hydrophobic substrates (gold) by Langmuir–Schaefer (LS) film deposition, resulting in the formation of adsorbed particles ranging in size from 200 to 500 nm, depending on the polymer architecture and the substrate temperature. The particles presented “Janus”-like hydrophilic/hydrophobic characteristics.     

Fixed-time synchronization of a reaction-diffusion BAM neural network with distributed delay and its application to image encryption

In this paper, the fixed-time synchronization of reaction-diffusion BAM neural networks is investigated, where both discrete and distributed delays are taken into account. Combining Lyapunov stability theory and several integral inequalities, fixed-time synchronization criteria are established. Through sensitivity analysis, we find the key controller parameters that have a great influence on the maximum settling time. Using the chaotic sequences generated by the neural network, the color image can be encrypted by the Arnold Cat Map and the pixel diffusion. Experiments show that the image encryption algorithm designed in this paper has good properties of security and anti-attacking, which meets the requirements for the secure transmission of image information.     

中立型驱动反应BAM 神经网络的全局渐近同步性

针对一类具有时滞的中立型驱动反应BAM神经网络,提出全局渐近同步性问题.不使用现有文献中传统的李雅普诺夫泛函、矩阵测度和线性矩阵不等式(LMI)等已被广泛应用于研究神经网络全局渐近同步性的方法,而是通过构造2个微分不等式U 1(t)和U 1(t),利用微分不等式方程和不等式技巧解出2个不等式,得到能够确保中立型驱动反应BAM神经网络全局渐近同步的两个新的充分条件.     

BaMgAl10O17 : Eu2+发射光谱的谱峰形状

BaMgAl₁₀O₁₇ : Eu²⁺(BAM)是三基色荧光灯和等离子显示用荧光粉中的蓝色组分。用晶格弛豫和多声子跃迁理论研究了BAM发射光谱的谱峰分布。结果表明可以用三个高斯函数很好地拟合BAM的宽带发射。BAM的宽带发射可能由分布在BaMgAl₁₀O₁₇晶格中三个不同位置的Eu²⁺的能级跃迁构成。三个Eu的发光中心分别是Beevers-Ross位和anti-Beevers-Ross 位,第三个Eu²⁺的发光中心可能是位于尖晶石基块中的mid-oxygen(m_o)位。     

Global exponential stability analysis on impulsive BAM neural networks with distributed delays

Using M-matrix and topological degree tool, sufficient conditions are obtained for the existence, uniqueness and global exponential stability of the equilibrium point of bidirectional associative memory (BAM) neural networks with distributed delays and subjected to impulsive state displacements at fixed instants of time by constructing a suitable Lyapunov functional. The results remove the usual assumptions that the boundedness, monotonicity, and differentiability of the activation functions. It is shown that in some cases, the stability criteria can be easily checked. Finally, an illustrative example is given to show the effectiveness of the presented criteria.     

Eu2+、Mn2+、Sr2+掺杂BaMgAl10O17的燃烧法合成及光致发光性能

在600℃温度下,采用液相燃烧法合成了Sr²⁺、Eu²⁺和Mn²⁺三掺的BaMgAl₁₀O₁₇（BAM）蓝绿荧光粉。用XRD、SEM和荧光光谱仪分别分析和表征该荧光粉的物相、形貌和光致发光性能。结果表明,液相燃烧法合成BAM的温度明显低于传统的高温固相合成法;合成的纳米棒均匀、无团聚现象;荧光光谱仪分析表明Eu²⁺、Mn²⁺离子间存在能量传递,且Sr²⁺能有效提高BAM的发光强度,约为固相法制备荧光强度的1.8倍。BAM：0.1Eu²⁺,0.04Mn²⁺,0.05Sr²⁺色坐标为（0.146,0.250）,属于蓝绿光。     

Further results on exponential stability of discrete‐time BAM neural networks with time‐varying delays

This paper is concerned with the exponential stability for the discrete‐time bidirectional associative memory neural networks with time‐varying delays. Based on Lyapunov stability theory, some novel delay‐dependent sufficient conditions are obtained to guarantee the globally exponential stability of the addressed neural networks. In order to obtain less conservative results, an improved Lyapunov–Krasovskii functional is constructed and the reciprocally convex approach and free‐weighting matrix method are employed to give the upper bound of the difference of the Lyapunov–Krasovskii functional. Several numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright © 2017 John Wiley & Sons, Ltd.     

PERIODIC SOLUTIONS OF BAM NETWORKS WITH STATE DEPENDENT DELAYS

We use Krasnosel'skii's fixed point theorem to show that the following BAM networks with state dependent delays has a periodic solution.     

不确定区间时滞Markov跳变BAM神经网络的鲁棒指数稳定性

讨论了具有不确定区间时滞的BAM神经网络的鲁棒均方指数稳定性问题。通过构造适当的Lya-punov-Krasovskii泛函,利用一些新的定界技术,以线性矩阵不等式形式给出了Markov跳变BAM神经网络的时滞且区间相关的全局鲁棒指数稳定性判据,该判据利用Matlab的LMI工具很容易进行检验。给出数值示例,说明了判据的有效性与优越性。