Comment on “Based on interval type-2 adaptive fuzzy H∞ tracking controller for SISO time-delay nonlinear systems”

In this comment, we point out the inappropriateness of Theorem 1 in the article [Tsung-Chih Lin, Mehdi Roopaei. Based on interval type-2 adaptive fuzzy H^∞ tracking controller for SISO time-delay nonlinear systems. Commun Nonlinear Sci Numer Simulat 2010;15:4065–75]. For solving this problem, some formular mistakes are corrected and novel parameter adaptive laws of interval type-2 fuzzy neural network system are given.     

Dispersion behavior and thermal conductivity characteristics of Al2O3–H2O nanofluids

Nanofluid is a kind of new engineering material consisting of solid nanoparticles with sizes typically of 1–100 nm suspended in base fluids. In this study, Al₂O₃–H₂O nanofluids were synthesized, their dispersion behaviors and thermal conductivity in water were investigated under different pH values and different sodium dodecylbenzenesulfonate (SDBS) concentration. The sedimentation kinetics was determined by examining the absorbency of particle in solution. The zeta potential and particle size of the particles were measured and the Derjaguin–Landau–Verwey–Overbeek (DLVO) theory was used to calculate attractive and repulsive potentials. The thermal conductivity was measured by a hot disk thermal constants analyser. The results showed that the stability and thermal conductivity enhancements of Al₂O₃–H₂O nanofluids are highly dependent on pH values and different SDBS dispersant concentration of nano-suspensions, with an optimal pH value and SDBS concentration for the best dispersion behavior and the highest thermal conductivity. The absolute value of zeta potential and the absorbency of nano-Al₂O₃ suspensions with SDBS dispersant are higher at pH 8.0. The calculated DLVO interparticle interaction potentials verified the experimental results of the pH effect on the stability behavior. The Al₂O₃–H₂O nanofluids with an ounce of Al₂O₃ have noticeably higher thermal conductivity than the base fluid without nanoparticles, for Al₂O₃ nanoparticles at a weight fraction of 0.0015 (0.15 wt%), thermal conductivity was enhanced by up to 10.1%.     

Balloon-borne spectrum–polarization imaging for river surface velocimetry under extreme conditions

River discharge measurement is very important for river hydrology, river dynamics, etc. However, under extreme conditions, the river always has the characteristics of tremendous variation of flow discharge, high sediment concentration, large quantity of floating debris, and so on, which make the traditional river discharge measurement methods and instruments difficult to implement. To solve this problem, this note presents a novel scheme for river surface velocimetry based on spectrum–polarization imaging (that is, imaging the river surface using both spectrum and polarization features) and low-altitude telemetry technology. At first, to improve the accuracy of river surface dim targets detection and motion vector estimation, an imaging method based on near-infrared (NIR) spectrum–polarization is proposed for river surface monitoring. Then, to solve the contradiction between the large field of view and the shooting angle of shore-based large-scale particle image velocimetry (LSPIV) system, a balloon-borne low-altitude telemetry system with a self-stabilized servo platform is designed, which records the large-scale river surface images at an approximately vertical angle to the flow surface. This scheme will play an active promoting role in the development and improvement of wild river discharge measurement under extreme conditions.     

Fatness and thinness of uniform Cantor sets for doubling measures

Let E = E({nk},{ck}) be a fat uniform Cantor set. We prove that E is a minimally fat set for doubling measures if and only if (nkck)p = ∞ for all p < 1 and that E is a fairly fat set for doubling measures if and only if there are constants 0 < p < q < 1 such that (nkck)q < ∞ and (nkck)p = ∞. The classes of minimally thin uniform Cantor sets and of fairly thin uniform Cantor sets are also characterized.     

Bis(β‐ketoamino)copper(II)/methylaluminoxane systems for homo‐ and copolymerizations of methyl acrylate and 1‐hexene

Two bis(β‐ketoamino)copper [ArNC(CH₃)CHC(CH₃)O]₂Cu ( 1 , Ar = 2,6‐dimethylphenyl; 2 , Ar = 2,6‐diisopropylphenyl) complexes were synthesized and characterized. Homo‐ and copolymerizations of methyl acrylate (MA) and 1‐hexene with bis(β‐ketoamino)copper(II) complexes activated with methylaluminoxane (MAO) were investigated in detail. MA was polymerized in high conversion (>72%) to produce the syndio‐rich atactic poly(methyl acrylate), but 1‐hexene was not polymerized with copper complexes/MAO. Copolymerizations of MA and 1‐hexene with 1 , 2 /MAO produced acrylate‐enriched copolymers (MA > 80%) with isolated hexenes in the backbone. The calculation of reactivity ratios showed that r(MA) is 8.47 and r(hexene) is near to 0 determined by a Fineman‐Ross method. The polymerization mechanism was discussed, and an insertion‐triggered radical mechanism was also proposed. © 2010 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 48: 1113–1121, 2010     

具有空穴传输性能高效蓝光咔唑芘

A novel bifunctional blue-light material, 9-(pyren-1-yl)-9H-carbazole (CzPy), has been syn-thesized and its structure is identified by electron ionization mass spectrometry, ¹H NMR, and element analysis. The absorption, photoluminescence spectra and thermal properties were studied, results showedthat CzPy was stable under ambient conditions with a blue-light emission (461 nm).Additionally, its electroluminescence properties were characterized with four different devices. Results indicated a maximum luminous efficiency reached 1.56 cd/A and maximum luminance up to 3526 cd/m² at 10 V with commission international De L'Eclairage coordinates of (0.20, 0.24) when it was used as emitter. Furthermore, CzPy also indicated hole-transporting ability.     

大型结构大修改下的静力重分析方法

对于大型结构发生参数大修改时, 采用组合近似算法进行结构位移重分析会使所得的近似解与真实解误差较大. 为了解决组合近似算法在大型结构发生参数大修改时的求解精度不足缺陷, 提出了3种改进的结构静力重分析方法. 该3种改进算法都是基于组合近似算法, 并分别通过位移迭代修正、刚度逐步逼近等措施使求解精度不断提高. 通过2个算例验证了3种改进算法的有效性和高效性, 并对3种改进算法之间的求解效率进行了比较.      

芴-氮杂萘酮-聚芳醚酮离聚物的合成与性能

以双酚芴、双酚A型二氮杂萘酮、二氟二苯酮和二氟二苯酮磺酸钠为原料, 通过调整4种单体的比例以及加料顺序控制缩聚反应, 制备了一系列具有不同离子交换容量的含芴和二氮杂萘酮联苯单元的嵌段聚芳醚酮, 简称芴-氮杂萘酮-聚芳醚酮离聚物. 采用黏度测试、傅里叶衰减全反射红外光谱(FTIR-ATR)、氢谱(1H NMR)和热失重(TGA)等分析方法, 对不同结构的芴-氮杂萘酮-聚芳醚酮离聚物的分子量、结构及热稳定性进行了表征. 实验结果表明, 采用控制缩聚法能够制备出不同离子交换容量的高分子量芴-氮杂萘酮-聚芳醚酮离聚物, 该系列离聚物具有良好的热稳定性. 对该系列离聚物膜进行了抗氧化性、水解稳定性、吸水率、耐醇性、离子交换容量和质子传导率测试. 测试结果表明, 该系列离聚物具有良好的抗氧化性、水解稳定性、耐醇性、质子传导率和适当的吸水率.     

General solutions to a class of time fractional partial differential equations

A class of time fractional partial differential equations is considered, which in- cludes a time fractional diffusion equation, a time fractional reaction-diffusion equation, a time fractional advection-diffusion equation, and their corresponding integer-order partial differential equations. The fundamental solutions to the Cauchy problem in a whole-space domain and the signaling problem in a half-space domain are obtained by using Fourier- Laplace transforms and their inverse transforms. The appropriate structures of the Green functions are provided. On the other hand, the solutions in the form of a series to the initial and boundary value problems in a bounded-space domain are derived by the sine- Laplace or cosine-Laplace transforms. Two examples are presented to show applications of the present technique.