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It is the first time that time consistent solutions are derived in a cooperative differential game on pollution control with industries and governments being separate entities.


This paper presents a cooperative differential game of transboundary industrial pollution.


This paper addresses the issue of computation of the characteristic function values in a nplayer linearstate cooperative differential game.


The paper is concerned with a noncooperative differential game for two players.


This new approach widens the application of cooperative differential game theory to problems where future environments are not known with certainty.




 For cooperation problems,in order to avoid the difficulty in solving nonlinear problems and to be able to cope with uncertain information,a linearized fuzzy model of cooperative differential game is constructed,based on the thought of TS fuzzy differential game.Subsequently,the design method of controller is investigated,which corresponds to the eclectic solution to the system of fuzzy linear cooperative differential game.A simulation for 2 ∶2 differential games is made,and... For cooperation problems,in order to avoid the difficulty in solving nonlinear problems and to be able to cope with uncertain information,a linearized fuzzy model of cooperative differential game is constructed,based on the thought of TS fuzzy differential game.Subsequently,the design method of controller is investigated,which corresponds to the eclectic solution to the system of fuzzy linear cooperative differential game.A simulation for 2 ∶2 differential games is made,and its result illustrates the feasibility of the solution scheme.  对于协商问题,为避免非线性问题带来求解上的困难并且使其能够处理不确定信息,基于TS模糊微分对策的思想,构造出协商微分对策的模糊线性化模型.进一步探讨了在模糊线性协商微分对策系统下相应于折中解的控制器的设计方法.对一个2∶2对策问题做了仿真,其效果说明了解决问题方法的可行性.  The conceptions called optimal equilibrium payment and optimal equilibrium solution for manyperson differential games are introduced.The optimal equilibrium solutions set is a connected convex set consisting of the Pareto optimal solutions in a certain convex condition.This result proves that the optimal solutions of games problem are equivalent to the solutions of single object optimal control problem.The optimal strategies of games problem under different weights can also be obtained... The conceptions called optimal equilibrium payment and optimal equilibrium solution for manyperson differential games are introduced.The optimal equilibrium solutions set is a connected convex set consisting of the Pareto optimal solutions in a certain convex condition.This result proves that the optimal solutions of games problem are equivalent to the solutions of single object optimal control problem.The optimal strategies of games problem under different weights can also be obtained by means of this algorithm.This algorithm gives a simple and new way to solve the manyperson cooperative differential games.  引入多人微分对策的最优均衡值和最优均衡解概念。在某种凸性条件下最优均衡解集是Pareto最优解的凸本质连通区域。利用最优均衡解将问题等价地转化为求解单目标最优控制问题。该方法可推广到求解局中人拥有不同权重的情形,为求解多人合作微分对策问题提供了一种简单的、新的途径。  In order to avoid the difficulty in solving nonlinearity and to be able to cope with uncertain information,state equation and objective function of nonlinear cooperative differential game to Utilitarian solution are fuzzified and quadraticly formed respectively,based on the thought of TS fuzzy differential game.Linearized fuzzy model of cooperative differential game to Usolution is constructed.The method to determine the weight number of cooperative Usolution model is researched.The... In order to avoid the difficulty in solving nonlinearity and to be able to cope with uncertain information,state equation and objective function of nonlinear cooperative differential game to Utilitarian solution are fuzzified and quadraticly formed respectively,based on the thought of TS fuzzy differential game.Linearized fuzzy model of cooperative differential game to Usolution is constructed.The method to determine the weight number of cooperative Usolution model is researched.The design method of the corresponding controller of Usolution is given under the condition of fuzzy linear cooperative differential game.Research work and simulation illustrate that,compared with Nash cooperative solution,Usolution of cooperation theory is better to reflect unitary effect and is easy to popularize.  鉴于协商微分对策多具有强非线性和不确定性特点,为避免非线性问题等带来求解上的困难和能处理不确定信息,基于TS模糊微分对策的思想,对非线性的基于Utilitarian解(简称U解)的协商微分对策的状态方程和性能分别进行了模糊化和二次型化,构造出面向U解的协商微分对策的模糊线性化模型,研究了协商U解模型中加权系数的确定,并进一步探讨了在模糊线性协商微分对策系统下相应于U解的控制器的设计方法。研究工作和仿真结果可以说明,相对于Nash协商解,协商理论的U解更能反映整体效果,更易于推广。   << 更多相关文摘 
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