索穹顶结构优化设计

采用整体可行预应力概念对索穹顶结构进行预应力优化、截面优化和形状优化设计。预应力优化采用一维搜索法，截面优化采用齿行法，形状优化采用模式搜索法。算例分析表明，对于预应力优化，当由索松弛控制时，预应力水平系数随初始截面面积的增大而增大；当由挠度控制时，预应力水平系数随截面的增大而减小，使结构在荷载作用下满足约束条件而使预应力水平系数最小；截面优化使构件达到满应力设计状态；形状优化通过改变节点位置使结构拥有承受荷载的最轻的结构重量。     

风险条件下大科学工程制造商的采购策略

研究风险条件下大科学工程制造商的采购策略,讨论需求和供应的不确定性对制造商最优采购决策的影响。分别在需求不确定、供应不确定、需求和供应同时不确定3种情况下得到制造商最优采购量的隐形表达式,假设需求和供应服从均匀分布,计算3种情况下最优订货量的显性表达式,对最优订货量进行比较静态分析,并将3种情况下的最优采购量和最优利润进行对比。最后,通过数值分析,验证该模型的有效性。     

Optimal control strategies for an ecological model including infection and competition

This contribution is concerned with the application of optimal control theories and methods to an ecosystem. There are four major ingredients. The first ingredient is to present an optimal control problem for an ecosystem including infection and competition. The second ingredient is the existence results, which assert that in a given Hilbert space the controlled system admits a unique strong solution and the optimal control problem has at least one optimal pair. The third, which is the main new ingredient of this paper, is a maximum principle for the optimal control problem. The first-order necessary optimality condition for the optimal control is established by employing dual techniques. It provides a theoretical basis for the design of the optimal control strategy. The fourth ingredient is an example and its numerical simulation, which further confirm the results of this paper.     

Optimal controller for uncertain stochastic polynomial systems

This paper presents the optimal quadratic-Gaussian controller for uncertain stochastic polynomial systems with linear control input and a quadratic criterion over linear observations. The optimal closed-form controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. As intermediate results, the paper gives closed-form solutions of the optimal regulator and controller problems for stochastic polynomial systems with linear control input and a quadratic criterion. Performance of the obtained optimal controller is verified in the illustrative example against the conventional quadratic-Gaussian controller that is optimal for stochastic polynomial systems with known parameters. Simulation graphs demonstrating overall performance and computational accuracy of the designed optimal controller are included.     

考虑网络外部性与创新程度的专利许可策略研究

本文在综合考虑网络外部性与专利创新程度的条件下,对创新者不许可策略、固定许可策略与变动许可策略进行了分析,在此基础之上,确定了创新者的最优专利许可策略。研究表明,当网络外部性较弱时,变动许可是创新者的最优许可策略;当网络外部性较强时,固定许可是创新者的最优许可策略;当网络外部性强度适中时,如果创新程度较低,创新者将选择变动许可策略,如果创新程度较高,创新者将选择固定许可策略。本文的研究为理解与制定专利许可策略提供了新的思考。     

Optimal control for linear systems with time delay in control input

This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic cost function. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with time delay in observations, and then proved using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs and comparison tables demonstrating better performance of the obtained optimal regulator are included.     

Optimal LQG controller for linear stochastic systems with unknown parameters

This paper presents the optimal LQG controller for linear systems with unknown parameters. The optimal controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQG controller that is optimal for linear systems with known parameters. Simulation graphs verifying overall performance and computational accuracy of the designed optimal controller are included.     

Optimal control in unobservable integral Volterra systems

This paper presents solution of the optimal linear-quadratic controller problem for unobservable integral Volterra systems with continuous/discontinuous states under deterministic uncertainties, over continuous/discontinuous observations. Due to the separation principle for integral systems, the initial continuous problem is split into the optimal minmax filtering problem for integral Volterra systems with deterministic uncertainties over continuous/discontinuous observations and the optimal linear-quadratic control (regulator) problem for observable deterministic integral Volterra systems with continuous/discontinuous states. As a result, the system of the optimal controller equations are obtained, including the linear equation for the optimally controlled minmax estimate and two Riccati equations for its ellipsoid matrix (optimal gain matrix of the filter) and the optimal regulator gain matrix. Then, in the discontinuous problems, the equation for the optimal controller and the equations for the optimal filter and regulator gain matrices are obtained using the filtering procedure for deriving the filtering equations over discontinuous observations proceeding from the known filtering equations over continuous ones and the dual results in the optimal control problem for integral systems. The technical example illustrating application of the obtained results is finally given.     

Optimal and robust control for linear state-delay systems

This paper presents the optimal regulator for a linear system with state delay and a quadratic criterion. The optimal regulator equations are obtained using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs demonstrating better performance of the obtained optimal regulator are included. The paper then presents a robustification algorithm for the obtained optimal regulator based on integral sliding mode compensation of disturbances. The general principles of the integral sliding mode compensator design are modified to yield the basic control algorithm oriented to time-delay systems, which is then applied to robustify the optimal regulator. As a result, the sliding mode compensating control leading to suppression of the disturbances from the initial time moment is designed. The obtained robust control algorithm is verified by simulations in the illustrative example.     

不缺货情形下基于第三方物流的供应链协同补货模型研究

将第三方物流引入到CPFR中,构建了不缺货情形下CPFR中的协同补货模型,通过对模型的最优值求解,得出最优库存量及最优补货时间,证明了模型的有效性.最后研究了协同补货模型中的各个参数的变化对最优值变化的影响,分析了变动发生的原因,以及在参数变化后最优值的变化趋势.     

Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems

This paper presents the optimal control problem for a non-linear polynomial system with respect to a Bolza-Meyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a causal solution and, therefore, fails. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control.     

基于空间多标准分析的海水养殖空间布局优化标准研究

基于空间多标准分析方法,从最优产量、最优结构、最优用海比例和最优优化次序4个方面,构建海水养殖业空间布局优化标准指标体系,该指标体系包括3个指标层共36个指标。根据最优化理论,制定最优标准,并推出标准化得分公式,得分加权后获得目标区域海水养殖业空间布局优化综合得分。采用等差赋值法对综合评分进行分级,将海水养殖空间布局优化合理程度划分为不合理、过渡阶段和合理三大类,将优化水平划分为极度差、非常差、差、较差、濒临差、勉强好、较好、好、良好和非常好十小类。     

Control Lyapunov function optimal sliding mode controllers for attitude tracking of spacecraft

The attitude tracking control problem for a rigid spacecraft using two optimal sliding mode control laws is addressed. Integral sliding mode (ISM) control is applied to combine the first-order sliding mode with optimal control and is applied to quaternion-based spacecraft attitude tracking maneuvres with external disturbances and an uncertainty inertia matrix. For the optimal control part the control Lyapunov function (CLF) approach is used to solve the infinite-time nonlinear optimal control problem, whereas the Lyapunov optimizing control (LOC) method is applied to solve the finite-time nonlinear optimal control problem. The second method of Lyapunov is used to show that tracking is achieved globally. An example of multiaxial attitude tracking maneuvres is presented and simulation results are included to demonstrate and verify the usefulness of the proposed controllers.     

Optimal control algorithms for switched Boolean network

This paper investigates the time optimal control and optimal infinite-horizon control for a switched Boolean network. First, the switched Boolean network can be converted into a discrete switched system by using the semi-tensor product of matrices. Second, algorithms for time optimal control and optimal infinite-horizon control of the switched Boolean network are presented. Moreover, constrained optimal infinite-horizon control is studied. Finally, illustrative examples are given to show the efficiency of the obtained results.     

对纯交换帕累托最优条件的再思考——兼与 Andreu Mas-Colell, Michael D. Whinston 和 Jerry R. Green 商榷

本文认为现有的纯交换帕累托最优条件存在问题,一则帕累托最优均衡点不是唯一的,原因是条件不充分;二则虽然使用提供曲线解决了均衡点的唯一性问题,但提供曲线本身是有缺陷的。本文认为,在信息完全的条件下,通过博奕分析方法,可得出纯交换帕累托最优均衡是唯一的,并对此完善了纯交换的帕累托最优条件。     

Optimal filtering over linear observations with unknown parameters

This paper presents the optimal filtering and parameter identification problem for linear stochastic systems over linear observations with unknown parameters, where the unknown parameters are considered Wiener processes. The original problem is reduced to the filtering problem for an extended state vector that incorporates parameters as additional states. The resulting filtering system is bilinear in state and linear in observations. The obtained optimal filter for the extended state vector also serves as the optimal identifier for the unknown parameters. Performance of the designed optimal state filter and parameter identifier is verified for both, positive and negative, parameter values.     

Sliding mode optimal control for linear systems

This paper addresses the optimal control problem for a linear system with respect to a Bolza–Meyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional linear feedback control fails to provide a causal solution. Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQ regulator that is optimal for the quadratic Bolza–Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control.     

基于重大损失控制的套期保值优化模型

以套期保值收益率的最小方差为目标函数,以收益率偏度大于等于零控制套保者遭受重大损失发生的概率,建立了基于重大损失控制的套期保值优化模型。本模型的特色与创新是建立了"均值—方差—偏度"的三因素套期保值优化模型。通过偏度约束控制了当收益分布向右偏斜时的重大损失发生的概率,解决了套保者遭受重大损失的问题。在期望—方差模型的基础上,增加了偏度参数,开拓了套期保值优化的新思路,解决了套期保值过程中重大风险的规避问题。     

Direct solution of nonlinear optimal control problems using quasilinearization and Chebyshev polynomials

In this paper, a numerical method to solve nonlinear optimal control problems with terminal state constraints, control inequality constraints and simple bounds on the state variables, is presented. The method converts the optimal control problem into a sequence of quadratic programming problems. To this end, the quasilinearization method is used to replace the nonlinear optimal control problem with a sequence of constrained linear-quadratic optimal control problems, then each of the state variables is approximated by a finite length Chebyshev series with unknown parameters. The method gives the information of the quadratic programming problem explicitly (The Hessian, the gradient of the cost function and the Jacobian of the constraints). To show the effectiveness of the proposed method, the simulation results of two constrained nonlinear optimal control problems are presented.     

Minimax optimal control of linear system with input-dependent uncertainty

In this paper, the quadratic minimax optimal control of linear system with input-dependent uncertainty is studied. We show that it admits a unique solution and can be approximated by a sequence of finite-dimensional minimax optimal parameter selection problems. These finite-dimensional minimax optimal parameter selection problems are further reduced to scalar optimization problems which also admit unique solutions. Thus, the original minimax optimal control problem is solved via solving a sequence of simple scalar optimization problems. Numerical experiments are presented to illustrate the developed method.