一类四阶非线性系统的李雅普诺夫函数的稳定性

本文运用“类比法”,在文[1]的基础上,构造了一类四阶非线性系统的李雅普诺夫函数给出了该系统的全局渐近稳定性的充分条件,较大推广了文[1]的结果。

松科1井南孔白垩系姚家组沉积序列精细描述：岩石地层、沉积相与旋回地层

中国白垩纪大陆科学钻探松科1井南孔连续取姚家组岩心长157.67m,岩心收获率为99.96%。上白垩统姚家组对应着三冬阶和坎潘阶下部。松科1井南孔姚家组岩心的精细描述,揭示其岩性-岩相-旋回的沉积序列及其过程。姚家组中可识别基本岩石类型11种,相类型为浅湖、半深湖和三角洲前缘3种亚相,白云岩沉积、泥质灰岩沉积、浅湖和深湖浊流沉积、河口坝、远砂坝、席状砂、分流间湾、水下滑塌沉积、浅湖和深湖静水泥沉积11种沉积微相。姚家组可识别的米级旋回(六级旋回)有8种类型,可划分出151个米级旋回。这些米级旋回叠加成45个五级旋回、9个四级旋回和3个三级旋回。完整组段厘米级刻画为高精度沉积过程研究提供了可能。姚家组红层厚度占姚家组总厚度的43%,作为该时期已被揭示的全球为数不多的陆相红层之一,厘米级刻画的姚家组大套陆相红层为全球白垩纪富氧事件研究提供了可能的立典剖面。

松科1井南孔白垩系青山口组二、三段沉积序列精细描述:岩石地层、沉积相与旋回地层

中国白垩纪大陆科学钻探松科1井南孔连续取青山口组二、三段岩心长415.61m,岩心收获率为100%。青二、三段沉积时期应与康尼亚克阶对应。通过对松科1井南孔青二、三段岩心的精细描述,揭示其岩性-岩相-旋回的沉积序列及其过程。青二、三段识别出12种岩石类型。相类型为深湖亚相的白云岩沉积、泥灰岩沉积、灰岩沉积、油页岩沉积、半深湖浊流沉积、火山灰沉积、震积岩、半深湖静水泥沉积和浅湖亚相的浅湖静水泥质沉积、浅湖浊流沉积,共2种亚相10种微相。青二、三段中可识别的米级旋回(六级旋回)有6种类型,可划分出422个米级旋回,这些米级旋回叠加成130个五级旋回、21个四级旋回和1个三级旋回。对青二、三段暗色泥岩、震积岩、白云岩、火山灰等特殊事件层的精细刻画对于松辽盆地烃源岩和湖相事件沉积研究具有重要意义。

排序向量的三个近似解系研究

AHP排序向量的"近似解法"至少可导出三个解系:K阶行平均法解系、K阶规范列平均法解系和K阶列平均倒数法解系.均在给定的比例判断矩阵的前提下,进行归一化处理,获得各自的排序向量.而当判断矩阵不一致时,其排序向量的结果也存在着差异.同时还存在继续研究的"真序"向量和AHP排序向量的其它近似解法.

Identification algorithm for a kind of fractional order system

The state-space representation of linear time-invariant (LTI) fractional order systems is introduced, and a proof of their stability theory is also given. Then an efficient identification algorithm is proposed for those fractional order systems. The basic idea of the algorithm is to compute fractional derivatives and the filter simultaneously, i.e., the filtered fractional derivatives can be obtained by computing them in one step, and then system identification can be fulfilled by the least square method. The instrumental variable method is also used in the identification of fractional order systems. In this way, even if there is colored noise in the systems, the unbiased estimation of the parameters can still be obtained. Finally an example of identifying a viscoelastic system is given to show the effectiveness of the aforementioned method.

Frequency domain identification of non-integer order dynamical systems

Two new methods, the generalized Levy method and the weighted iteration method, are presented for identification of non-integer order systems. The first method generalizes the Levy identification method from the integer order systems to the non-integer order systems. Then, the weighted iteration method is presented to overcome the shortcomings of the first method. Results show that the proposed methods have better performance compared with the integer order identification method. For the non-integer order systems, the proposed methods have the better fitting for the system frequency response. For the integer order system, if commensurate order scanning is applied, the proposed methods can also achieve the best integer order model which fits the system frequency response. At the same time, the proposed algorithms are more stable.

Design of No-Steady-Error and Anti-Disturbance Controller for Vehicular Servo Systems

A modified method of design of no-steady-error and anti-disturbance controller is proposed for the design of tank stabilizers. Using a reduced-order observer to estimate its mode, disturbance can be compensated. This enables the system to resist sinusoidal disturbance with any magnitude. Estimate of angular velocity is used as the state feedback to replace the expensive gyro and tachometer generator. The modified method excels the traditional, and provides a new way for the design of tank fire control system. It can also be applied for the design of other servo systems in vehicle and aircraft.

Domain-based noise removal method using fourth-order partial differential equation

Due to the fact that the fourth-order partial differential equation （PDE） for noise removal can provide a good trade-off between noise removal and edge preservation and avoid blocky effects often caused by the second-order PDE, a domain-based fourth-order PDE method for noise removal is proposed. First, the proposed method segments the image domain into two domains, a speckle domain and a non-speckle domain, based on the statistical properties of isolated speckles in the Laplacian domain. Then, depending on the domain type, different conductance coefficients in the proposed fourth-order PDE are adopted. Moreover, the frequency approach is used to determine the optimum iteration stopping time. Compared with the existing fourth-order PDEs, the proposed fourth-order PDE can remove isolated speckles and keeps the edges from being blurred. Experimental results show the effectiveness of the proposed method.

Study of （2＋1）-Dimensional Higher-Order Broer-Kaup System

Painleve property and infinite symmetries of the （2＋1）-dimensional higher-order Broer-Kaup （HBK） system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.ups to （2＋1）-dimensional HBK system. Based on our theorem, some new forms of solutions are obtained. We also find infinite number of conservation laws of the （2＋1）-dimensional HBK system.

Routh Order Reduction Method of Relativistic Birkhoffian Systems

Routh order reduction method of the relativistic Birkhoffian equations is studied. For a relativistic Birkhoffian system, the cyclic integrals can be found by using the perfect differential method. Through these cyclic integrals, the order of the system can be reduced. If the relativistic Birkhoffian system has a cyclic integral, then the Birkhoffian equations can be reduced at least by two degrees and the Birkhoffian form can be kept. The relations among the relativistic Birkhoffian mechanics, the relativistic Hamiltonian mechanics, and the relativistic Lagrangian mechanics are discussed, and the Routh order reduction method of the relativistic Lagrangian system is obtained. And an example is given to illustrate the application of the result.

Hierarchical Algorithms of Large-Scale Systems with Nonseparable Multiobjective

A class of large-scale hierarchical control systems is considered, the overall objective function is a nonlinear and nonseparable function of multiple quadratic performance indices.The separation strategy of the multiobjective optimization technique and the three-level objective coordination method are applied to the large -sacle systems, and a four-level hierarchical algorithms of optimization control is obtained.

Parameter identification of the fractional-order systems based on a modified PSO algorithm

In order to better identify the parameters of the fractional-order system,a modified particle swarm optimization(MPSO)algorithm based on an improved Tent mapping is proposed.The MPSO algorithm is validated with eight classical test functions,and compared with the POS algorithm with adaptive time varying accelerators(ACPSO),the genetic algorithm(GA),a d the improved PSO algorithm with passive congregation(IPSO).Based on the systems with known model structures a d unknown model structures,the proposed algorithm is adopted to identify two typical fractional-order models.The results of parameter identification show that the application of average value of position information is beneficial to making f 11 use of the information exchange among individuals and speeds up the global searching speed.By introducing the uniformity and ergodicity of Tent mapping,the MPSO avoids the extreme v^ue of position information,so as not to fall into the local optimal value.In brief the MPSOalgorithm is an effective a d useful method with a fast convergence rate and high accuracy.

Dynamic Behavior of a Predator-prey System with Stage-structure for Prey

In this paper, we considered the predator-prey system with stage-structure for prey, where the predators predate immature preys only. The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed, and then uniformly persistent sufficient conditions of populations were found.

Driving Forces and Their Effects on Water Conservation Services in Forest Ecosystems in China

Identifying the driving forces that cause changes in forest ecosystem services related to water conservation is essential for the design of interventions that could enhance positive impacts as well as minimizing negative impacts. In this study, we propose an assessment concept framework model for indirect-direct-ecosystem service （IN-DI-ESS） driving forces within this context and method for index construction that considers the selection of a robust and parsimonious variable set. Factor analysis was integrated into two-stage data envelopment analysis （TS-DEA） to determine the driving forces and their effects on water conservation services in forest ecosystems at the provincial scale in China. The results showed the following. 1） Ten indicators with factor scores more than 0.8 were selected as the minimum data set. Four indicators comprising population density, per capita gross domestic product, irrigation efficiency, and per capita food consumption were the indirect driving factors, and six indicators comprising precipitation, farmland into forestry or pasture, forest cover, habitat area, water footprint, and wood extraction were the direct driving forces. 2） Spearman＇s rank correlation test was performed to compare the overall effectiveness in two periods： stage 1 and stage 2. The calculated coefficients were 0.245, 0.136, and 0.579, respectively, whereas the tabulated value was 0.562. This indicates that the driving forces obviously differed in terms of their contribution to the overall effectiveness and they caused changes in water conservation services in different stages. In terms of the variations in different driving force effects in the years 2000 and 2010, the overall, stage 1, and stage 2 variances were 0.020, 0.065, and 0.079 in 2000, respectively, and 0.018, 0.063, and 0.071 in 2010. This also indicates that heterogeneous driving force effects were obvious in the process during the same period. Identifying the driving forces that affect service changes and evaluating their efficiency have significant policy implications for the management of forest ecosystem services. Advanced effectiveness measures for weak regions could be improved in an appropriate manner. In this study, we showed that factor analysis coupled with TS-DEA based on the IN-D1-ESS framework can increase the parsimony of driving force indicators, as well as interpreting the interactions among indirect and direct driving forces with forest ecosystem water conservation services, and reducing the uncertainty related to the internal consistency during data selection.

Nonlinear analysis of nano-cluster doped fiber

There are prominent nonlinear characteristics that we hope for the semiconductor nano-clusters doped fiber. Refractive index of fiber core can be effectively changed by adulteration. This technology can provide a new method for developing photons components. Because the semiconductor nano-cluster has quantum characteristics, Based on first-order perturba- tion theory and classical theory of fiber, we deduced refractive index expressions of fiber core, which was semiconductor nano-cluster doped fiber. Finally, third-order nonlinear coefficient equation was gained. Using this equation, we calculated SMF-28 fiber nonlinear coefficient. The equation shows that new third-order coefficient was greater.

Barcelona Clinic Liver Cancer outperforms Hong Kong Liver Cancer staging of hepatocellular carcinoma in multiethnic Asians: Real-world perspective

To compare the Barcelona Clinic Liver Cancer (BCLC) and Hong Kong Liver Cancer (HKLC) classification systems when applied to HCC patients from the largest tertiary-level centre in Singapore.METHODSOne thousand two hundred and seventy hepatocellular carcinoma (HCC) patients prospectively enrolled in a tertiary-level centre registry in Singapore since 1988 were studied. Patients were grouped into their respective BCLC and HKLC stages. Data such as demography, aetiology of HCC and type of treatment were collected. Survival data was based on census with the National Registry of Births and Deaths on 31st October 2015. Statistical analyses were done using SPSS version 21 (Chicago, IL, United States). Survival analyses were done by the Kaplan-Meier method. Differences in survival rates were compared using the log-rank test.RESULTSThe median age at presentation was 63 years (range 13-94); male 82.4%; Chinese 89.4%, Malay 7.1%, Indian, 2.8%. Hepatitis B was the predominant aetiology (75.0%; Hepatitis C 7.2%, Hepatitis B and C co-infection 3.8%, non-viral 14.0%). Both BCLC and HKLC staging systems showed good separation with overall log rank test confirming significant survival differences between stages in our cohort (P < 0.001). 206 out of the 240 patients (85.8%) assigned for curative treatment by the BCLC treatment algorithm received curative therapy for HCC [Stage 0 93.2% (68/73); Stage A 82.6% (138/167)]. In contrast, only 341/558 (61.1%) patients received curative treatment despite being assigned for curative treatment by the HKLC treatment algorithm [Stage I 72.7% (264/363); Stage II 40.2% (66/164); Stage Va 35.5% (11/31)]. Patients who were assigned to curative treatment by HKLC but did not receive curative treatment had significantly poorer ECOG (P < 0.001), higher Child-Pugh status (P < 0.001) and were older (median age 66 vs 61, P < 0.001) than those who received curative therapy. Median overall survival in patients assigned to curative treatment groups by BCLC and HKLC were 6.1 and 2.6 years respectively (P < 0.001). When only patients receiving curative treatment were analyzed, BCLC still predicted overall median survival better than HKLC (7.1 years vs 5.5 years, P = 0.037).CONCLUSIONBCLC performs better than HKLC in our multiethnic Asian population in allocating patients to curative treatment in a real-life situation as well as in predicting survival.

Fractional Birkhoffian Dynamics Based on Quasi-fractional Dynamics Models and Its Lie Symmetry

In order to investigate the dynamic behavior of non-conservative systems,the Lie symmetries and conserved quantities of fractional Birkhoffian dynamics based on quasi-fractional dynamics model are proposed and studied.The quasi-fractional dynamics model here refers to the variational problem based on the definition of RiemannLiouville fractional integral(RLFI),the variational problem based on the definition of extended exponentially fractional integral(EEFI),and the variational problem based on the definition of fractional integral extended by periodic laws(FIEPL).First,the fractional Pfaff-Birkhoff principles based on quasi-fractional dynamics models are established,and the corresponding Birkhoff’s equations and the determining equations of Lie symmetry are obtained.Second,for fractional Birkhoffian systems based on quasi-fractional models,the conditions and forms of conserved quantities are given,and Lie symmetry theorems are proved.The Pfaff-Birkhoff principles,Birkhoff’s equations and Lie symmetry theorems of quasi-fractional Birkhoffian systems and classical Birkhoffian systems are special cases of this article.Finally,some examples are given.

Infinitely many periodic solutions for second-order Hamiltonian systems

The existence of high energy periodic solutions for the second-order Hamiltonian system -ü（t）＋A（t）u（t）=▽F（t,u（t）） with convex and concave nonlinearities is studied, where F（t, u） = F1（t,u）＋F2（t,u）. Under the condition that F is an even functional, infinitely many solutions for it are obtained by the variant fountain theorem. The result is a complement for some known ones in the critical point theory.

Actuator fault diagnosis of autonomous underwater vehicle based on improved Elman neural network

Autonomous underwater vehicles(AUV) work in a complex marine environment. Its system reliability and autonomous fault diagnosis are particularly important and can provide the basis for underwater vehicles to take corresponding security policy in a failure. Aiming at the characteristics of the underwater vehicle which has uncertain system and modeling difficulty, an improved Elman neural network is introduced which is applied to the underwater vehicle motion modeling. Through designing self-feedback connection with fixed gain in the unit connection as well as increasing the feedback of the output layer node, improved Elman network has faster convergence speed and generalization ability. This method for high-order nonlinear system has stronger identification ability. Firstly, the residual is calculated by comparing the output of the underwater vehicle model(estimation in the motion state) with the actual measured values. Secondly, characteristics of the residual are analyzed on the basis of fault judging criteria. Finally, actuator fault diagnosis of the autonomous underwater vehicle is carried out. The results of the simulation experiment show that the method is effective.