最优策略

Further, under weakened conditions (without the assumption of continuity of objective function), the convergence theorem of EP and ES with the general mutation operators is also given.

针对一般的变异算子，在不要求目标函数连续的情况下，证明了保持最优个体的进化规划和进化策略，迭代产生的最优个体的函数值收敛到问题的最优值的ε-邻域的概率为1。

Using the dynamic programming approach, an explicit solution to the value function of the optimal portfolio problem is obtained by the HJB equation, and the optimal investment strategy is given.

在风险投资服从Heston模型的假设下，研究了幂效用函数的最优投资组合问题，利用动态规划方法通过HJB方程得到最优投资组合价值函数的显式解，并给出最优投资策略。

An optimal control model is developed for the definite linear economic systems with an inequality constraint on state integrals, based on the dynamic input-output theory.

利用动态投入产出模型和控制理论方法相结合，对经济系统进行分析和宏观调控·具有状态积分不等式约束的确定性线性经济系统最优控制模型，是基于动态投入产出理论建立的·利用无约束条件的极大值原理，分析了最优技术与经济控制策略的存在性和惟一性，使得产品的实际产出尽量接近理想产出，同时使能源、资金等消耗最小，并给出了最优反馈控制的形式

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

The dynamic field equation is optimal pure strategy of the games; and the statistical quantum field equation is optimal mixed strategy of the games.

动力学场的场方程是该博弈的最优纯策略；而统计性的量子场方程则是该博弈的最优的混合策略。

Our analysis framework relies on the reflected Backward Stochastic Differential equation approach.We characterize the value functions of the noncallable bonds in terms of the reflected Backward Stochastic Differential equation,Then the relationship between the value function of convertible bonds and reflected backward stochastic differential equations with single reflect is built at the same time,and provide the optimal conversion strategy for bondholders.2:We get the value of non-callable convertible bonds by numerical methods.

探讨了可转换债券的最优停时价值与带反射边界倒向随机微分方程解的关系，在市场完备，公司价值只包括股权和可转债这两种权益等各种假定下，给出不可赎回可转换债券的价值函数，证明了不可赎回可转换债券的最优停时问题的解是存在的，同时给出了其最优的转换策略。2：通过数值方法求解不可赎回可转换债券的价值。

With Markov optimality principle, the paper extends the existing models and discusses the optimal claim strategies of policyholders under these automobile insurance clauses.

本文应用马尔科夫最优化原理推广了汽车保险的最优索赔策略模型，并对我国现行的三个车险条款的最优索赔策略问题进行了实证研究。

In the part of empirical analysis of Chinese IPO first-day return, the difference between existing study and this study is that we use principal components analysis to extract from five factors to construct investors'sentiment index, add it to controled varibles, on which we examine the influence of offering mechanism on IPO first-day return. Moreover, we gather statistics and compare the IPO holding return for lockup period between fixed-price-class offering method and bookbuilding-class offering method, as well as price range between Chinese A-share market and Hongkong stock market, which prvide comprehensive evidence to appraise Chinese IPO bookbuilding mechanism. 2. Compare to the existing literatures which consider discount or allocation, incentive allocation and discount are considered at the same time in optimal mechanism design in this dissertation, and the offering bottom price is introduced to the price range. We investigate the relationship between price range and allocation quantity, and obtain the optimal price range and allocation strategy so that the advantages of independent allocation are reflected. On the other hand, the disadvantages of independent allocation are reflected in the manipulation in case of no restriction on IPO allocation. To distinguish from the existing literatures, bookbuilding mechanism is introduced to the model. We study the allocation strategy adopted by the underwriter in the pooling equilibrium of manipulation. In addition, we analyze the incentive compatibility conditions to which the existence of pooling equilibrium should satisfy and examine some factors'impact on the existence of manipulation.3. In bookbuilding without independent IPO allocation, Chinese realistic IPO background is considered and the condition of bookbuilding and fixed-price hybrid offering is added. Divide bookbuilding and fixed-price hybrid offering into sequential hybrid and simultaneous hybrid, and point out that the key points of subscription strategy in the two kinds of hybrid are different. Through modeling and simulation we obtain the impact of institutional investors'subscription strategy on bookbuilding without independent IPO allocation, which fill the gap in related research. Moreover, in the part of IPO bookbuilding with over-allotment option, the pricing strategy is divided into hot-IPO strategy and weak-IPO strategy. Take into account the procedure of Chinese IPO with over-allotment option, it presents how the underwriter determines the pricing strategy and what effect it brings to offering price and issue size through modeling and simulation. Therefore, it is instructive as a complement to existing literatures.

此外，对我国A股市场询价发行方式与固定价格发行方式下的IPO锁定期到期时持有收益率、以及我国A股市场与香港市场的询价发行价格区间进行了统计比较，为评价我国IPO市场的询价发行提供了比较全面的依据。2、相比已有文献仅考虑折价和分配中的一种激励措施，本论文在有自主配售权下的机制设计中并用了分配与折价两种激励措施，并且在价格区间的制定中引入发行底价，考察了价格区间与分配量之间的关系，得到最优的价格区间和分配策略，从中体现自主分配权的优点；在有自主分配权下的操纵行为研究中则体现了自主配售权的弊端，与已有文献不同的是，在模型中引入了累计投标询价机制，研究了承销商在混同均衡操纵中采取的分配策略，并对操纵存在的条件进行分析讨论，得出各个因素对混同均衡操纵存在的影响。3、在无自主分配权下的询价发行中，充分考虑了我国实际应用的背景，加入了与固定价格发售混合的条件，并将询价与固定价格混合发行分为序贯与同步两种方式，指出机构投资者在两种情况下申购策略的侧重点各有不同，通过对序贯混合发行方式下的网下累计投标策略以及同步混合发行方式下的资金分配策略的模型建立和数值仿真，考察了机构投资者申购策略对无自主分配权下的询价发行的影响，填补了相关研究文献的空白；在包含超额配售选择权的询价发行中，将发行定价策略分为热销策略和弱销策略，在考虑了我国含超额配售选择权的发行流程下，通过建模以及数值仿真得出承销商会对发行定价策略作出怎样的选取，进而会对新股发行价格、发售数量产生怎样的影响，对目前相关研究的缺乏做出了有益的补充。

When the rotational speed difference between the flywheel and clutch disk plate is small enough, that is to say, the rotational speed difference between the flywheel and clutch disk plate is smaller than what is set in advance, the flywheel and the clutch disk will engage as quickly as they can. So the shock intensity and slipping friction work are all very small when the clutch engages with the flywheel.

在E.T.Driver输出驱动扭矩小于阻力扭矩时，采用基于最小值原理的换档控制策略对滑摩功和冲击度进行综合最优控制，使滑磨功和冲击度达到综合最优，并得到了以解析式形式表达的系统最优控制函数。E.T。

The sightline control strategy for bad measure precision is developed, and the control methods for vertical direction, approach direction and station keeping are presented.(2)The safe approach velocities are investigated for cuboid, sphere and cone keep out zone.(3)The design method for optimal trajectory under safety constraint is developed. The cone and cuboid keep out zone can be described using line constraint, and then optimal trajectory design can be translated to line programming problem under line constraint.(4) The design strategy of collision avoidance maneuver is discussed, and the collision avoidance scheme is analyzed for V-bar and R-bar approach.The control and trajectory safety in departure phase are investigated.

1提出了测量误差较大时平移靠拢段的视线控制策略，给出了横向、纵向和悬停的控制方法；(2)针对长方体禁区、球形禁区和锥形禁区三种禁区形式，研究了V-bar逼近和任意方向逼近的纵向安全速度计算问题；(3)提出了安全约束下的最优轨迹设计方法，将冲量和有限推力作用下的最优轨迹设计问题转化为线性规划问题，并给出了将锥形和方形安全区域约束转化为标准线性约束的公式；(4)探讨了紧急避撞机动的设计策略，分析了V-bar和R-bar接近的紧急避撞机动方案。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。