恰有2个内度的2维Torus网络的定向图

设G是一个简单图且D是G的一个定向图.若对D中任意顶点x,d-(x)=a或b,则称G是[a,b]可实现的.主要研究了2维Torus网络中[a,b]可实现的充要条件.设H=Torus(p,k)是一个2维Torus网络,其中p和k是2个不小于3且奇偶性相同的正整数.设0≤a,b≤4,则H是[a,b]可实现的当且仅当存在非负整数s和t使得s+t=kp且as+bt=2kp.

A Zinc TTR Complex with a Novel 2-D Structure (TTR=3-Amino-1H-1,2,4-triazole)

The solvothermal reaction of 3-amino-1H-1,2,4-triazole （ttr） with Zn（ClO4）2·6H2O and NaCl in a 1：1：1 molar ratio gave a new complex [Zn（ttr）Cl]n with a 3-connected （4.82） 2-D structure. The layers stack in the -ABAB- way along the c axis with abundant hydrogen bonding interactions to form the crystal structure. The complex [Zn（ttr）Cl]n crystallizes in the orthorhombic space group Pbca with a = 9.369（1）, b = 10.049（1）, c = 11.905（1）A, V = 1120.9（3）A^3, Z = 8.00, C2N4H3ZnCl, Mr = 183.90, Dc = 2.180 g/cm^3,μ = 4.740 mm^-1, F（000） = 720, S = 1.059 and T = 293（2） K. The final R = 0.0662 and wR = 0.2457 for 956 observed reflections with Ⅰ〉 2σ（Ⅰ）, and R = 0.0689 and wR = 0.2504 for all data.

Event-triggered robust guaranteed cost control for two-dimensional nonlinear discrete-time systems

An event-triggered scheme is proposed to solve the problems of robust guaranteed cost control for a class of two-dimensional(2-D)discrete-time systems.Firstly,an eventtriggered scheme is proposed for 2-D discrete-time systems with parameter uncertainties and sector nonlinearities.Then,according to the Lyapunov functional method,the sufficient conditions for the existence of event-triggered robust guaranteed cost controller for 2-D discrete-time systems with parameter uncertainties and sector nonlinearities are given.Furthermore,based on the sufficient conditions and the linear matrix inequality(LMI)technique,the problem of designing event-triggered robust guaranteed cost controller is transformed into a feasible solution problem of LMI.Finally,a numerical example is given to demonstrate that,under the proposed event-triggered robust guaranteed cost control,the closed-loop system is asymptotically stable and fewer communication resources are occupied.

Design of twodimensional digital filters using neural networks

A new approach for the design of two-dimensional （2-D） linear phase FIR digital filters based on a new neural networks algorithm （NNA） is provided. A compact expression for the transfer function of a 2-D linear phase FIR filter is derived based on its frequency response characteristic, and the NNA, based on minimizing the square-error in the frequency-domain, is established according to the compact expression. To illustrate the stability of the NNA, the convergence theorem is presented and proved. Design examples are also given, and the results show that the ripple is considerably small in passband and stopband, and the NNA-based method is of powerful stability and requires quite little amount of computations.

A 2-D HYDRODYNAMIC MODEL FOR THE RIVER,LAKE AND NETWORK SYSTEM IN THE JINGJIANG REACH ON THE UNSTRUCTURED QUADRANGLES

The main river, the Dongting Lake and river networks in the Jingjiang reach of the Yangtze River constitute a complex water system, for which a full 2-D hydrodynamic model is established instead of the traditional 1-D or compound models for simulation of such complex systems, based on the latest developments of computer technologies and numerical methods. To better handle irregular boundaries and keep the computation cost well in a reasonable limit, unstructured grids of moderate scale are used. In addition, a dynamic boundary tracking method is proposed to simulate variable flow domains at different floods, especially, when the moderate scale gird can not describe flows in narrow river-network channels at low water levels. The t9 semi-implicit method and the Eulerian-Lagrangian Method （ELM） are adopted, which make the model unconditionally stable with respect to the gravity wave speed and Courant number restrictions. Properties and efficiency of the model are discussed, and it is concluded that the new model is robust and efficient enough for the simulation of a big, complex water system. Validation tests show that the simulation results agree well with field data. It takes about 0.96 h to complete the computation of a 76 d flood, which indicates that the model is efficient enough for engineering applications.

A COUPLED 1-D AND 2-D CHANNEL NETWORK MATHEMATICAL MODEL USED FOR FLOW CALCULATIONS IN THE MIDDLE REACHES OF THE YANGTZE RIVER

A coupled one-dimensional （1-D） and two-dimensional （2-D） channel network mathematical model is proposed for flow calculations at nodes in a channel network system in this article. For the 1-D model, the finite difference method is used to discretize the Saint-Venant equations in all channels of a looped network. The Alternating Direction Implicit （ADI） method is adopted for the 2-D model at the nodes. In the coupled model, the 1-D model provides a good approximation with small computational effort, while the 2-D model is applied for complex topography to achieve a high accuracy. An Artificial Neural Network （ANN.） method is used for the data exchange and the connectivity between the 1-D and 2-D models. The coupled model is applied to the Jingjiang-Dongting Lake region, to simulate the tremendous looped channel network system, and the results are compared with field data. The good agreement shows that the coupled hydraulic model is more effective than the conventional 1-D model.

二维环网中基于自适应维度气泡路由的组播算法

介绍了一种称为二维环网维度气泡组播路由(2DTDBMR)的新型算法.基于在一套网络中,采用相同的路由策略支持报文的单播操作和组播操作的思想,在二维环网中,基于TADBR自适应路由,设计实现了2DTDBMR组播算法.该组播算法在路由器中实现了多目标路由以及报文复制,而且算法是无死锁的.通过对二维环网中报文所有可能的路由情况进行分析发现当采用2DTDBMR组播算法时,报文最终都可以到达目标点.最后,在自行设计的模拟工具RingNetSim上实现了2DTDBMR组播算法.在RingNetSim上分析了2DTDBMR算法的性能,结果显示环网维度气泡组播算法的性能优异.