Adaptive Optimal Discrete-Time Output-Feedback Using an Internal Model Principle and Adaptive Dynamic Programming

In order to address the output feedback issue for linear discrete-time systems, this work suggests a brand-new adaptive dynamic programming(ADP) technique based on the internal model principle(IMP). The proposed method, termed as IMP-ADP, does not require complete state feedback-merely the measurement of input and output data. More specifically, based on the IMP, the output control problem can first be converted into a stabilization problem. We then design an observer to reproduce the full state of the system by measuring the inputs and outputs. Moreover, this technique includes both a policy iteration algorithm and a value iteration algorithm to determine the optimal feedback gain without using a dynamic system model. It is important that with this concept one does not need to solve the regulator equation. Finally, this control method was tested on an inverter system of grid-connected LCLs to demonstrate that the proposed method provides the desired performance in terms of both tracking and disturbance rejection.

Generalized variational principles for boundary value problem of electromagnetic field in electrodynamics

An expression of the generalized principle of virtual work for the boundary value problem of the linear and anisotropic electromagnetic field is given. Using Chien＇s method, a pair of generalized variational principles （GVPs） are established, which directly leads to all four Maxwell＇s equations, two intensity-potential equations, two constitutive equations, and eight boundary conditions. A family of constrained variational principles is derived sequentially. As additional verifications, two degenerated forms are obtained, equivalent to two known variational principles. Two modified GVPs are given to provide the hybrid finite element models for the present problem.

Continuous-Time Models for Firm Valuation and Their Collateral Effect on Risk-Neutral Probabilities and No-Arbitraging Principle

Extensions of Merton’s model(EMM)considering the firm’s payments and generating new types of firm value distribution are suggested.In the open log-value/time space,these distributions evolve from initially normal to negatively skewed ones,and their means are concave-down functions of time.When payments are set to zero or proportional to the firm value,EMM turns into the Geometric Brownian model(GBM).We show that risk-neutral probabilities(RNPs)and the no-arbitraging principle(NAP)follow from GBM.When firm’s payments are considered,RNPs and NAP hold for the entire market for short times only,but for long-term investments,RNPs and NAP just temporarily hold for individual stocks as far as mean year returns of the firms issuing those stocks remain constant,and fail when the mean year returns decline.The developed method is applied to firm valuation to derive continuous-time equations for the firm present value and project NPV.

OPTIMAL REINSURANCE UNDER EXPECTED VALUE PRINCIPLE

The paper concerns the problem how to purchase the reinsurance in order to make the insurer and the reinsurance company＇s total risk to be least under the expected value principle. When the insurer and reinsurance company take arbitrary risk measures, sufficient con- ditions for optimality of reinsurance contract are given within the restricted class of admissible contracts. Further, the explicit forms of optimal reinsurance contract under several special risk measures are given, and the method to decide parameters as well.

EKELAND'S PRINCIPLE FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS

In this paper, we introduce a concept of quasi C-lower semicontinuity for setvalued mapping and provide a vector version of Ekeland＇s theorem related to set-valued vector equilibrium problems. As applications, we derive an existence theorem of weakly efficient solution for set-valued vector equilibrium problems without the assumption of convexity of the constraint set and the assumptions of convexity and monotonicity of the set-valued mapping. We also obtain an existence theorem of ε-approximate solution for set-valued vector equilibrium problems without the assumptions of compactness and convexity of the constraint set.

Auxiliary principle and three-step iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities

An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle iterative sequences generated by the algorithm technique. The convergence of three-step is also proved.

Profit Allocation Scheme among Partners in Virtual Enterprises Based on Fuzzy Shapley Values

Fuzzy Shapley values are developed based on classical Shapley values and used to allocate profit among partners in virtual enterprises （VE）. Axioms of the classical Shapley value are extended to Shapley values with fuzzy payoffs by using fuzzy sets theory. Fuzzy Shapley function is defined based on these extended axioms. From the viewpoint the allocation for each partner should be a crisp value rather a fuzzy membership function at the end of cooperation, a crisp allocation scheme based on fuzzy Shapley values is proposed.

A Kind of Approximate Reasoning Principles

In this peper, we reseach the following form of approximate reasoning.Ant 1: (If x1 is A1 and x2 is A2and… and xn is An then y is B) is t1.Ant 2: (x1 is A’1 and x2 is A’2 and… and xn is A’n) is t2.Cons: (y is。B’) is ts.First we put forward two reasonable approximate reasoning principles, then, accordingg tO the two reasoning principles we construct a new kind of approximate reasoning methods. The bole idea which the new kind of approximate reasoning methods is that according to the strength p(A1(x1), …, An(xn) )→B (y) which A1(x1),…, An(xn) implicate B(y) and the degree of A’(x) approximates to A(x), we determine the upper limit and B’(y), then take a definite value B’(y) in between the upper limit and the lower limit, and make the reasoning method satisfied the two reasoning principles.

From Eigenvalues to Singular Values: A Review

The analogy between eigenvalues and singular values has many faces. The current review brings together several examples of this analogy. One example regards the similarity between Symmetric Rayleigh Quotients and Rectangular Rayleigh Quotients. Many useful properties of eigenvalues stem are from the Courant-Fischer minimax theorem, from Weyl’s theorem, and their corollaries. Another aspect regards “rectangular” versions of these theorems. Comparing the properties of Rayleigh Quotient matrices with those of Orthogonal Quotient matrices illuminates the subject in a new light. The Orthogonal Quotients Equality is a recent result that converts Eckart-Young’s minimum norm problem into an equivalent maximum norm problem. This exposes a surprising link between the Eckart-Young theorem and Ky Fan’s maximum principle. We see that the two theorems reflect two sides of the same coin: there exists a more general maximum principle from which both theorems are easily derived. Ky Fan has used his extremum principle (on traces of matrices) to derive analog results on determinants of positive definite Rayleigh Quotients matrices. The new extremum principle extends these results to Rectangular Quotients matrices. Bringing all these topics under one roof provides new insight into the fascinating relations between eigenvalues and singular values.

UNCONVENTIONAL HAMILTON-TYPE VARIATIONAL PRINCIPLES FOR DYNAMICS OF REISSNER SANDWICH PLATE

According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, in a simple and unified way proposed by Luo（1987）, some uncon ventional Hamilton-type variational principles for dynamics of Reissner sandwich plate can be established systematically. The unconventional Hamilton-type variation principle can fully characterize the initial boundary value problem of this dynamics. In this paper, an important integral relation is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work in dynamics of Reissner sandwich plate, but also to derive systematically the complementary functionals for fivefield, two-field and one-field unconventional Hamilton-type variational principles by the generalized Legender transformations. Furthermore, with this approach, the intrinsic relationship among the various principles can be explained clearly.

Principles About Batho Pele Principles： South African Exploration and Analyses

This paper explores Batho Pele principles within the ambit of the South African legislative framework regularizing the public service. It informs that there are original principles apprising what is commonly referred to as Batho Pele principles. The original principles are principles about Batho Pele principles. Batho Pele principles are not Bantu principles due to the historical and derogatory orientation of the phrase ＂Bantu＂. They are people orientated principles. The analytical axis is premised on that Batho Pele principles are more about the people than about themselves. The people are not only first in relation with the principles but are the first to be first before the principles were documented. The principles are developed by the people in order to regularize the actions of the public functionaries. The Batho Pele principles and the original principles do not exist in isolation. They are deeply rooted in the societal value systems of the people that existed from one generation to the other to the subsequent, emphasizing the centrality of people in relation to principles. The people＇s centrality is accentuated with references to a reasonable number of specific people orientated instruments that have bearing in the global and international arena.

A Sparse Kernel Approximate Method for Fractional Boundary Value Problems

In this paper,the weak pre-orthogonal adaptive Fourier decomposition(W-POAFD)method is applied to solve fractional boundary value problems(FBVPs)in the reproducing kernel Hilbert spaces(RKHSs)W_(0)^(4)[0,1] and W^(1)[0,1].The process of the W-POAFD is as follows:(i)choose a dictionary and implement the pre-orthogonalization to all the dictionary elements;(ii)select points in[0,1]by the weak maximal selection principle to determine the corresponding orthonormalized dictionary elements iteratively;(iii)express the analytical solution as a linear combination of these determined dictionary elements.Convergence properties of numerical solutions are also discussed.The numerical experiments are carried out to illustrate the accuracy and efficiency of W-POAFD for solving FBVPs.

Unconventional Hamilton-type variational principles for nonlinear elastodynamics of orthogonal cable-net structures

According to the basic idea of classical yin-yang complementarity and modem dual-complementarity, in a simple and unified new way proposed by Luo, the unconventional Hamilton-type variational principles for geometrically nonlinear elastodynamics of orthogonal cable-net structures are established systematically, which can fully characterize the initial-boundary-value problem of this kind of dynamics. An ifnportant integral relation is made, which can be considered as the generalized principle of virtual work for geometrically nonlinear dynamics of orthogonal cable-net structures in mechanics. Based on such relationship, it is possible not only to obtain the principle of virtual work for geometrically nonlinear dynamics of orthogonal cable-net structures, but also to derive systematically the complementary functionals for five-field, four-field, three-field and two-field unconventional Hamilton-type variational principles, and the functional for the unconventional Hamilton-type variational principle in phase space and the potential energy functional for one-field unconventional Hamilton-type variational principle for geometrically nonlinear elastodynamics of orthogonal cable-net structures by the generalized Legendre transformation given in this paper, Furthermore, the intrinsic relationship among various principles can be explained clearly with this approach.

国际食品安全文化建设进展分析及对我国的启示

为探索建设适合我国国情的食品安全文化,本文收集整理全球食品安全倡议(GFSI)、世界卫生组织(WHO)、国际食品法典委员会(CAC)及欧盟、澳新、美国、英国等组织和国家开展的食品安全文化建设工作的资料,从食品安全文化的定义、出台的相关政策、建立食品安全文化的重要性、食品安全文化评价原则、应采取的有效措施和评估时使用的工具等方面进行了分析比较,并基于中国传统文化的积淀、传承、城乡食品安全现状,提出了构建中国特色食品安全文化相关建议,希望为构建符合我国国情的食品安全文化提供参考和借鉴。

《伤寒论》临证价值刍议

《伤寒论》临证思想研究者众多,已逐渐形成较为完善的伤寒学研究体系,然尚存不足之处,如对此书临床价值认识不全面、疫病诊治重温病轻伤寒、经典理论应对当代疾病及经方运用存在的问题等。提出《伤寒论》为百病立法,治伤寒亦治杂病;疫病诊治重温病轻伤寒,实则寒温相互羽翼;经典研究可借鉴西医思维,应对疾病须以中为基;目前经方运用重方药略理法,亟待构建规范体系等观点,为中医经典临床研究提供思路。

新时代推进“第二个结合”的价值意蕴、原则要求和现实路径

“第二个结合”作为又一次思想解放,是新时代持续推动党的理论创新的重要前提、努力实现中华优秀传统文化现代转型的内生动力、自觉担负新的文化使命的科学指南、不断促进与世界文明交流互鉴的坚实保障。新时代新征程不断推进“第二个结合”,要在遵循理论性与实践性、守正性与创新性、学理性与大众性、历史性与现实性、民族性与世界性辩证统一原则的基础上,把握结合方向、培育结合主体、丰富结合载体、拓展结合视域,实现马克思主义思想精髓同中华优秀传统文化精华的贯通融通,聚变为新的理论优势,为在新的起点上继续推动文化繁荣、建设文化强国、建设中华民族现代文明,以文化复兴助力民族复兴奠定坚实的思想基础。

民事司法解释的历史性进步——最高人民法院《合同编通则司法解释》亮点评述

《合同编通则司法解释》是民事司法解释历史性进步的重要标志。《合同编通则司法解释》坚守民事司法解释的法律定位,较为准确地把握了《民法典》立法原意,压缩了《民法典》有关条款或多或少的争议或歧义空间,其中,合同解释规则堪称典范。《合同编通则司法解释》充实民事司法解释的基本功能,以更为具体、明确、肯定的行为规则强化《民法典》有关条款的确定性,其中,清晰合同行为的识别标准、填充合同行为的场景因素尤为出色。《合同编通则司法解释》运用40余年的民事司法解释积累的经验,自觉避免以往时有的路径选择不当的情形,形成固定词句含义与范围、指引合同行为与裁判、强化裁判程序与功能的鲜明特色。《合同编通则司法解释》的历史性价值与意义应当得以彰显和认同,以便未来的民事司法解释自觉前行。

Formally Inferring Galileo Galilei Principle of Relativity of Motion in an Axiomatic System “Sigma+V” from a Triple of Nontrivial Assumptions

The present paper submits a result of applying a hitherto unknown logically formalized axiomatic axiology-and-epistemology theory “Sigma+V” to the relativity principle formulated by Galileo Galilei. By this application, the author has continued checking the remarkable (paradigm-breaking) hypothesis that formal-axiological interpreting strictly universal laws of classical theoretical mechanics could have a heuristic value for the theory proper. Along with systematical studying proper algebraic structure of formal axiology of nature, the axiomatic (hypothetic-deductive) method is used in this research as well. The investigation accomplishments are the followings. Galileo Galilei principle of relativity of motion has been represented in a two-valued algebraic system of formal axiology by a wonderful formal-axiological equation which could be called a “formal-axiological analog of Galileo relativity principle”. A precise definition of that algebraic system is given. The remarkable formal-axiological equation has been created (and checked) in that algebraic system by attentive computing relevant compositions of evaluation-functions. Precise definitions of the relevant evaluation-functions are accomplished by tables. The remarkable formula modeling Galileo Galilei principle of relativity of motion (given the appropriate interpretation of the formal theory) has been formally-logically inferred within Sigma+V from a couple of nontrivial assumptions, namely, 1) a precisely defined assumption of a-priori-ness of knowledge, 2) the above-mentioned formal-axiological analog of the relativity principle by Galileo Galilei. A not-manifest but quite exact axiomatic definition of “a-priori-ness of knowledge” is provided. The formal-logical inference is performed in perfect accordance with the mathematical rigor norms formulated within the formalism doctrine by D. Hilbert, therefore, examining the formal deductive inference submitted in the paper can be accomplished easily. Being a nontrivial scientific novelty for proper theoretical physics, hitherto the formal-logical derivation has not been published and discussed elsewhere.

“马克思主义基本原理”课程渗透生命教育的三个着力点

生命教育是一种全人教育,既关乎大学生的生存与生活,也关乎大学生的成长与发展,更关乎大学生的本性与价值。将生命教育融入“马克思主义基本原理”课程教学,为其课程优化提供了新契机。从辩证唯物主义、唯物辩证法、劳动价值理论与科学社会主义四个方面引导学生理解生命本质特征、掌握生命发展规律、认识生命存在状态、树立生命理想,继而在教学目标上注重引领学生生命幸福、教学内容上解决学生生命困惑、教学方法上丰富学生生命体验,以助推“马克思主义基本原理”课程教学与生命教育深度融合,提升育人实效。

柏拉图–伽马模型下尾在险价值度量的贝叶斯估计的渐近行为及其应用

针对柏拉图–伽马风险模型的尾在险价值度量的贝叶斯估计量的渐近行为进行研究有助于对风险度量进行统计推断,以便于风险投资者及时采取相应措施规避风险。首先,通过构造柏拉图–伽马模型的贝叶斯假设,给出了尾在险价值度量的贝叶斯估计量,并利用经典的大偏差和中偏差理论,以及Delta方法得到了尾在险价值度量的贝叶斯估计量的渐近行为,包括渐近正态性、大偏差原理和中偏差原理;其次,给出了尾在险价值度量的贝叶斯估计量的中偏差原理在统计假设检验方面的具体应用,得到了第一类错误和势函数的渐近行为;最后,通过数值模拟的方法,计算并模拟了尾在险价值的置信区间及其区间覆盖率,并在不同样本容量下画出了尾在险价值度量的贝叶斯估计量标准化后的直方图和核密度估计曲线,这与标准正态分布密度函数曲线基本重合,从而验证了估计量的渐近正态性,同时还模拟了尾在险价值度量的贝叶斯估计量相关的尾概率,模拟结果表明样本容量充分大时,尾概率以一定的速度趋近于零,由此验证了估计量的中偏差原理。