非线性控制系统的一般形式及其稳定性

给出了SISO非线控制系统的点相对阶的概念,以此得出一般Brrnes Isidori标准形式。并对于具有最小相位非线性系统,给出了渐近稳定的充分条件;对于具有非最小相位系统,通过设计控制器来构建中心流形的方法,给出了其渐近稳定性的证明     

Vandermonde行列式的一类推广

本文研究了Vandermonde行列式的推广形式,给出了这类广义Vandermonde行列式满足的一些性质,并利用Laplace展开定理给出了这类行列式的计算公式。     

Tensor form of GPBiCG algorithm for solving the generalized Sylvester quaternion tensor equations

Sylvester quaternion tensor equations have a wide range of applications in image processing and system and control theory. In this paper, by the Kronecker product and vectorization operator and the properties of quaternion tensors, we focus mainly on proposing the tensor form of the generalized product-type biconjugate gradient method for solving generalized Sylvester quaternion tensor equations. As an application, we apply the proposed method to restore a blurred and noisy-free color video. The obtained numerical results illustrate the effectiveness of our method compared with some existing methods.     

On the generalized Zipf distribution. Part I

This article is concerned with a class of informetric distribution, a family of skew distributions found to describe a wide range of phenomena both within or outside of information sciences and referred to as being of Zipf-type. A generalization of Zipf distribution (a size-frequency form of the Zipf’s law), named the generalized Zipf distribution, is introduced. Two main characterizations of the generalized Zipf distribution are obtained based on the proportionate hazard rate and truncated moments. Finally, some asymptotic properties of the generalized Zipf distribution are investigated.     

弱非完整系统相对于非惯性系的Noether定理

首先建立了弱非完整系统相对于非惯性系的Ｊｏｕｒｄａｉｎ型变分原理，然后给出了弱非完整系统相对于非惯性系在一阶近似情况下的广义Ｎｏｅｔｈｅｒ定理。     

On moment exponential stability of Markovian switching integral delay systems

This paper studies the moment exponential stability analysis of a class of Markovian switching integral delay systems (MSIDSs). The existence, uniqueness and stability of the solution are discussed firstly. Secondly, by selecting appropriate Lyapunov-Krasovskii (L-K) functionals, delay-dependent sufficient conditions are given such that the general form of MSIDSs and the special form of MSIDSs having multiple delays are mean square exponentially stable respectively. The results are then generalized to robust stability of MSIDSs having multiple delays with uncertain parameters. Finally, numerical examples are given to illustrate the effectiveness of the proposed theoretical results.     

A matrix generalization of heaviside's expansion theorem

Starting with the energy and dissipation functions of the general n mesh linear bilateral network and using the operational methods of the Laplacian transformation, a solution is obtained for the Lagrangian equations of the system subject to initial boundary conditions. The equations take a particularly simple and general form if matrix notation is used.It is noted that the general case bears a close resemblance to the simple, one mesh, series circuit when the scalar factors which appear in this circuit are generalized to matrix form.     

Error analysis of TAS/MRC in Rayleigh fading channel with non-Gaussian noise

Transmit antenna selection with maximal ratio combining at the receiver (TAS/MRC) is a promising technique that can be used to avoid the hardware complexity of multiple input multiple output (MIMO) system without jeopardizing the diversity gain. The generalized Gaussian distribution (GGD) is used to model different kinds of additive noise including Gaussian, Laplacian, uniform, and impulsive. In this paper, we study the bit error performance of TAS/MRC system assuming flat Rayleigh fading channels perturbed by additive white generalized Gaussian noise (AWGGN). To this end, we provide a closed form expression for the average bit error rate of coherent modulation techniques in terms of Mejier’s G function that is readily available in many commercial mathematical software packages like MATLAB and Mathematica. Moreover, we study the asymptotic behavior of the BER at high signal to noise ratio (SNR). Analytical results are verified by simulation.     

Stationary principles and potential functions for nonlinear networks

This paper presents a novel graph theoretic approach for deriving various stationary principles for single-element type nonlinear networks. The concepts of total content, co-content and hybrid content are generalized to that of total parametric content for resistive nonlinear networks containing multivalued elements. The results by Brayton and Moser on potential functions for complete m-ports are generalized to non-complete m-ports in terms of three pseudopotential functions; namely, the pseudo-content, pseudo- co-content and the pseudo-hybrid content. The precise criterion for which each of these pseudo-potential functions reduces to a legitimate potential function is shown to be the unique solvability of an implicit set of equations given explicitly in terms of standard topological matrices. Simple circuit theoretic sufficient conditions are given which require merely the positive-definiteness of the incremental resistance matrix of an auxiliary complete current-controlled p-port and the incremental conductance matrix of an auxiliary complete voltage-controlled q-port. These conditions also guarantee that a non-complete dynamic nonlinear network can be represented by a system of normal form differential equations in terms of a single mixed potential function.     

关于智能控制系统键盘结构形式的研究

键盘是各种电子产品的重要组成部分。本文在介绍、总结传统键盘结构组成及特点的基础上,提出了一种新型的键盘结构形式,并对两种结构的键盘作分析比较,后者更具明显优势,值得应用推广。     

Adaptive fuzzy tracking control for switched uncertain strict-feedback nonlinear systems

This paper concerns an adaptive fuzzy tracking control problem for a class of switched uncertain nonlinear systems in strict-feedback form via the modified backstepping technique. The unknown nonlinear functions are approximated by the generalized fuzzy hyperbolic model (GFHM). It is shown that if the designed parameters in the controller and adaptive laws are appropriately selected, then all closed-loop signals are bounded and the stability of the system can be kept under average dwell time methods. In the end, simulation studies are presented to illustrate the effectiveness of the proposed method.     

A class of generalized decision- feedback equalizers

An upper bound and a lower bound to the probability of error for data transmission systems using a decision-feedback equalizer, with error propagation effects taken into account, are presented. Numerical examples show that they are tight bounds.We introduce the concept of a generalized decision-feedback equalizer suggested by the form of the derived bounds. A subclass is studied and optimized numerically with the aid of the derived error probability bounds. The solution represents the best compromise achievable by that class between the output noise power and the output intersymbol interference due to error propagation. A numerical example is carried out in detail to illustrate the concept.     

面向对象的基于评价要素集成的技术评价体系研究

针对技术评价问题，在12个评价要素及其多元化含义分析基础上概化了评价要素的基本元素，这些基本元素可看作属性，而将属性处理规则看作操作方法，这些特点具有对象特征，可使用面向对象技术抽象描述各类评价要素并形成类库，最终通过消息通讯的集成机制建立评价体系。该研究为评价方案工程化设计打下了基础，与其他知识库合并在一起，便可实现评价行为的决策支持功能。     

On linear generalized neutral differential delay systems

In this paper, the class of linear generalized neutral differential delay systems with time-invariant coefficients is studied. These kinds of systems are inherent in many physical and engineering phenomena. Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.     

Exact solutions for the generalized KdV equation by using Backlund transformations

In this paper, the Backlund transformations for the generalized KdV equation are constructed through Ablowitz–Kaup–Newell–Segur (AKNS) system in using Ricatti's form of the inverse method. The derived Backlund transformations are used to generate new classes of exact solutions. The technique developed here is based on the construction of wave functions which are the solutions of the associated AKNS. From known simple solutions we shall construct other solitons and wave solutions as well.     

平衡损失函数下广义Pareto分布参数的Bayes估计的可容许性

对于一个参数进行估计来讲,不仅要考虑估计的精度,还要考虑所得到的估计对于模型拟合的优良程度。通常的损失函数无能为力,而平衡损失函数可以考虑到这两点,本文将在平衡误差损失函数下研究广义Pareto分布参数的Bayes估计问题。在平衡损失函数下导出了参数的Bayes估计并讨论了一类线性形式估计的可容许性和不可容许性。     

Three-dimensional geometric moment bounding techniques

Important problems exist in the field of communications theory whose solution is in the form of an expectation of a function of a random variable. Often it is not computationally feasible to evaluate these moments exactly. This paper presents a geometric bounding technique that yields tight upper and lower bounds to generalized moments of a broad class of random variables. This technique produces excellent results for these communications theory problems.     

单因素方差分析模型中的广义p-值

研究非平衡、异方差情况下的单因素方差分析(ANOVA)模型中等均值假设检验问题.首先用Fiducial方法得到广义枢轴向量,由此直接定义广义p-值,并证明了由此广义p-值所给出的检验在边界上具有频率性质.该方法也可以应用于其他的多参数模型.作为例子,又考虑了具有协变量的ANOVA模型中等均值假设检验问题,给出了其检验问题的广义p-值.最后通过数值模拟,对本文方法与Weerahandi方法做了比较.模拟结果表明,在异方差时本文方法优于Weerahandi方法.     

基于灰色聚类的上市公司财务风险评价

上市公司作为现代企业的重要组织形式,其财务状况的健康与否与国家金融体系的稳定与可持续发展休戚相关。通过将德菲尔法与极小广义方差法结合在一起来构建财务风险评价指标体系,对上市公司财务风险评价问题展开研究。利用变异系数法确定指标权重,提出基于灰色定权聚类的上市公司财务风险评价模型,最后运用该模型对收集的10家上市公司2012年的财务风险做出评价。     

A generalized multiple-integral inequality and its application on stability analysis for time-varying delay systems

This paper is concerned with the stability analysis of time-delay systems. Lyapunov–Krasovskii functional method is utilized to obtain stability criteria in the form of linear matrix inequalities. The main purpose is to obtain less conservative stability criteria by reducing the estimation gap of the time derivative of the constructed Lyapunov–Krasovskii functional. First, a generalized multiple-integral inequality is put forward based on Schur complement lemma. Then, some special cases of the proposed generalized multiple-integral inequality are given to estimate single and double integral terms in the derivative of Lyapunov–Krasovskii functional. Furthermore, less conservative stability criteria are derived. Finally, three examples are given to illustrate the improvement of the proposed criteria.