Minimal Enclosing of an MPT （v,λ） in a TS （v＋l,μ）

Let MPT (v,λ) denote a maximum packing of triples of order v with index λ and TS (u,λ) denote atriple system of order u with index λ. In this paper, for v≥6, we determine necessary and sufficient conditions forenclosing an MPT (v，λ) in a TS (v l ,λ m) with one extra point and minimal increase in λ.     

Minimal Enclosing of an MPT （v,λ） in a TS （u,λ＋1）

Let MPT (v,λ) denote a maximum packing of triples of order v with index λ and TS (u,λ) denote a triple system of order u with index λ. In this paper, for v≥6, we determine necessary and sufficient condition for enclosing an MPT (v,λ) in a TS (v m,λ 1) with index λ increased by 1 and minimal increase in extra points.     

Existence of Almost Resolvable Directed 7-Cycle Systems

Let ARDkCS（v） denote an almost resolvable directed k-cycle system of order v. It is clear that a necessary condition for the existence of an ARDkCS（v） is v=1（mod k）. For k：3,4,5 and 6, the existence of an ARDkCS （v） had been completely solved. This paper shows that there exists an ARD7CS（v） if and only if v≡1 （rood 7） and v≥8.     

Splitting Balanced Incomplete Block Designs with Block Size 2×k

IntroductionIn the study of authentication codes,Ogata,etal[1] ,introduced the concept of splitting balancedincomplete block design which can be used toconstructk- splitting A- codes.A ( v,u× k,λ) - splitting balanced incompleteblock design is a pair( V,B) ,where V is a v- setofpoints and Bis a collection of subses of V ( calledblocks) with size uk such that the followingconditions are satisfied:( 1 ) Every B∈ B is expressed as a disjointunion of u subblocks of size k:B=B1∪ B2 ∪ ...…     

Construction of Pure Mendelsohn Triple Systems

This paper determined the existence of λ-fold pure Mendelsohn triple system of order υ satisfying λυ(υ-1)≡0 (mod 3) and υ≥4λ 5, or υ=2λ 2, and in the case of λ=4,5,6, which completely settled their existence.     

区组长为4的自反有向平衡不完全区组设计

如果从一个有向平衡不完全区组设计DB（k,λ;v)(X,P)到（X，P^-1)之间存在一个同构映射f，则这个DB（k,λ;v)被称为自反的，记为SCDB（k,λ;v)(X,P,f),其中P^-1={B^-1:B∈P}，当B＝（x1,x2,…,xk-1,xk)时B^-1=(xk,xk-1,…,x2,x1)。本文主要证明了SCDB（4，λ;v)存在的充分必要条件是λ≡1,2(mod3)时，v≡1(mod3)且v≥4,(v,λ）≠(7,1);λ≡0(mod3)时，v为≥4的任意整数。     

Periodic Solutions of Periodic Delay Predator—Prey System with Nonmonotonic Functional Response

By using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solutions of a delayed predator-prey system with nonmonotonic functional response in a periodic environment.     

A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem

The shock solution for the semilinear singularly perturbed two-point boundary value problem was studied. Under suitable conditions and using the theory of differential inequalities, the existence and asymptotic behavior of the solution for the original boundary value problems are discussed. The uniformly effective asymptotic expansion and estimation of solution u(x, ε) were obtained.     

两类圈的广义Mycielski图的邻强边色数

设G是简单图,V(Mn(G))={v01,v02,…,v0p;v11,v12,…,v1p;…;vn1,vn2,…,vnp};E(Mn(G))=E(G)∪{vijv(i 1)k|v0jv0k∈E(G),1≤i,j≤p,i=0,1,…,n-1},则Mn(G)称为G的广义Mycielski图,其中,V(G)={v0i|i=1,2,…,p}.本文得到了Mn(Cm)的邻强边色数,其中,Cm是m阶圈,且m≡0(mod 5)或m≡0(mod 6).     

一类图设计存在性的完全解决

一个(λKv，G)-设计是将λKv划分成边互不相交的子图，使得每一个子图都和G同构、本文作者将完全解决(λKv，G19)-设计对于任意λ的存在性．证明了(λKv，G19)-设计存在的充要条件是λv(v-1)≡0(mod 14)且(v，λ)≠(8，1)．     

Robust Fuzzy Sampled-Data Control for Dynamic Positioning Ships

A robust H∞sampled-data stabilization problem for nonlinear dynamic positioning(DP) ships with Takagi-Sugeno(T-S) fuzzy models is discussed in this paper. Input delay approach is used to convert the sampleddata DP ship system to a fuzzy system with time-varying delay. Adequate conditions are derived to determine the system's asymptotical stability and achieve H∞performance via Lyapunov stability theorems. Then, the fuzzy sampled-data controller is obtained by analyzing the stabilization condition. Simulation result shows that the proposed method and the designed controller for a DP ship are effective so that the DP ship can maintain the desired position, heading and velocities in the existence of varying environment disturbances.     

The Dimensions of Graphs and Constructions of Their Bases

IntroductionGraph G,considered in this paper,is finiteand simple with vertex set V ( G) and edge setE( G) .Let d( x,y) denote the distance between xand y in G and W={w1,w2 ,…,wk}denote the or-dered set of V( G) .For any given v∈V( G) ,therepresentation of v with respect to W is the k- vec-tor:r( v| W) ={d( v,w1) ,d( v,w2 ) ,…,d( v,wk) }.The ordered set W is called a resolving set of G ifr( u| W) =r( v| W) implies that u=v for all pairs{u,v}of vertices of G. A resolving set of G with…     

Bifurcations of Periodic Orbits for a Four-Dimensional System

Consider a four-dimensional system having a two-dimensional invariant surface. By analyzing the solutions of bifurcation equations, this paper studied the bifurcation phenomena of a k multiple closed orbit in the invariant surface. Sufficient conditions for the existence of periodic orbits generated by the k multiple closed orbit were given.     

Approach for Reliability Evaluation of Cross-Linked Polyethylene Under Combined Thermal and Vibration Stresses

Based on Wiener process model, a new approach for reliability evaluation of cross-linked polyethylene(XLPE) is proposed to improve the lifetime evaluation reliability of XLPE under multi-stressing conditions and study the failure probability distribution. In this paper, two accelerated aging tests are carried out under combined thermal and vibration conditions. The volume resistance degradation data of XLPE samples are tested with a24 h interval under the accelerated stressing conditions at(130℃, 12 m/s~2) and(150℃, 8.5 m/s~2), respectively.Nonlinear degradation data obtained from the experiment are transformed to linear intermediate-variable values using time scaling function, and then linearized degradation data are calculated and evaluated on the basis of linear Wiener process model. Considering traditional Arrhenius equation and inverse power criterion, parameters of the linear Wiener model are estimated according to the maximum likelihood function. The relationship curves on probability density and reliability are given, and the lifetime distribution of XLPE under different stressing conditions is also obtained for evaluating the reliability of XLPE insulation. Finally, the life expectancy of XLPE is 17.9 a under an allowance temperature of 90℃ and an actual vibration acceleration of 0.5 m/s~2. The approach and results in this paper may be used for reliability assessment of high-voltage multiple samples or apparatuses.     

Optimality Conditions for Static Programming with Generalized Convexity

IntroductionIn 1980, Hanson[1]introduced the concept ofinvexity. Many authors are interested in the fur-ther generalization. Several classes of functionswere defined for purpose of weakening the limita-tions of convexity in mathematical programming.For details, the readers are advised to consultRefs.[2~8].In Ref.[2], the necessary and sufficient con-ditions for the optimality of the primal and dualproblems were given with involving the functionssatisfying these conditions called type and typ…     

Minimal Enclosing of an MPT (v,λ) in a TS (v+1,μ)

IntroductionA maximum packing of triples( or simply amaximum packing) of order v with indexλ,denot-ed by MPT( v,λ) ,is a pair( V,B) where V is a v-set and B is a collection of 3- subsets ( called blocksor triples) of V such that1 each2 - subset of V iscontained in atmostλ triples,2 if C is any collec-tion of 3- subsets satisfying 1 then | B|≥ | C| .Let ( V,B) be an MPT ( v,λ) ,the leave of ( V,B) ,denoted by L ( v,λ) ,is a multigraph( V,E)when an edge {x,y}∈ E with multiplicity…     

Theoretical studies of active power/angle sub-matrix in power flow Jacobian for power system analysis

Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so that it is invertible. Also the necessary conditions for its singularity are given. These theoretical results can be used to clarify the ambiguous understanding of the sub-matrix in current literature, and also provide the theoretical foundations for the applications based on reduced power flow Jacobian. Numerical simulation on the IEEE 118-bus power system is used to illustrate our results.     

UNIQUENESS FOR SOLUTIONS OF NONHOMOGENEOUS A -HARMONIC EQUATIONS WITH VERY WEAK BOUNDARY VALUES

LetΩ be a bounded domain in Rn.We consid-er the quasilinear elliptic second order equationdiv A(x,u) =B(x,u) (1 )where A∶ Ω×Rn→Rn and B∶ Ω×Rn→R are func-tions satisfying the usual measurability conditions(Carathodory conditions) and,for1 0whenever h1≠ h2 (4)　　　 |B(x,h) |≤β|h|p -1(5)for almostevery x∈ Ω and all h,h1…     

MODEL AND SIMULATION FOR A BRUSHLESS AC GENERATOR WITH AROTARY RECTIFIER

Objective For a brushless AC generator with a rotary rectifier, it is necessary and significant to model and simulate at normal and fault operation states. Methods Two new concepts, namely, Simulink signals and PSB (Power System Blockset) variables, are proposed, and the difference between the two concepts is clarified. Based on the new model for synchronous machines, a simulation model for a brushless AC generator with a rotary rectifier is constructed by Matlab/Simulink/PSB. This new model, which has a speed input terminal and an exciting voltage input one, can simulate the real electrical characters and direct mechanical connection between two synchronous machines perfectly. The rotary rectifier is a three-phase full-wave bridge rectifier which consists of six diodes. The model for the diodes is a macro-model which possesses much better accuracy than an ideal one of switches. Results Based on the present model, some simulation results such as exciting current waveform, phase current waveform and phase voltbge waveform are afftained at several operation conditions. Conclusion The simulation for a brushless AC generator with a rotary rectifier is demonstrated at normal and fault operation states, respectively. The results confirm the presented method.     

RP-HPLC method for the quantitation of β-Sitosterol in Elaeagnus Gon yanthes Benth

Objective To establish an RP-HPLC method for the determination of β-Sitosterol in Elaeagnus Gonyanthes Benth. Methods The separation was performed on a luna C8 (2) (150 mm×4.6 mm, 5μm) column with the mobile phase of methanol-water (88∶12, v/v) at a flow rate of 1.0 mL/min, the detection wavelength was set at 210 nm, and the temperature of the column was maintained at 35 ℃. Results The calibration curve of β-Sitosterol was linear over the concentration range of 0.075-0.375 mg/mL (r=0.9999) and the average recovery of β-Sitosterol was 96.30% with RSD of 3.60%(n=3). Conclusion The method is simple, rapid, and accurate, and can be used for the quality control of Elaeagnus Gonyanthes Benth.