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differential game
相关语句
  微分对策
     Problem of dynamic optimal tax rate design:Stackelberg differential game model
     动态最优税率设计问题:一个Stackelberg微分对策模型
短句来源
     THE ANALYSIS OF DIFFERENTIAL GAME MODELS OF SAFE SHIP CONTROL PROCESS
     船舶安全控制过程的微分对策模型分析
短句来源
     Differential Game Guidance Law Based on Fuzzy Theory
     基于模糊理论的微分对策制导律
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     Guidance Law Based on Neural Network and Differential Game Theory
     基于神经网络和微分对策理论的制导律
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     Troops Support Differential Game Optimization Model and Solution
     兵力增援微分对策优化模型及解法
短句来源
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  微分博弈
     Differential game is a branch of mathematics with wide and prosperous applications.
     微分博弈是有广泛应用前景的数学分支。
短句来源
     Duopoly investment differential game simulation based on system dynamics
     基于系统动力学的两厂商投资微分博弈模拟
短句来源
     The results show that differential game can be transferred to the matrix form of the game,and players' equilibrium strategies can be solved simply through system dynamics simulation.
     结果表明,通过系统动力学模拟可将微分博弈转化为博弈的矩阵形式,进而方便地求出局中人均衡策略.
短句来源
     The mathematical thought reflected in these researches were, actually, different from modern Game theory, but, still, it showed the possibility of dealing with Game problems with mathematic tools, and meanwhile, the thought of differential game theory in the early time was included in these researches, which in a way inspired the establishment of Game theory.
     在这些研究中所包含的数学思想与现代博弈理论的思想基本上是不一样的,但也反应出了用数学工具处理博弈问题的可能性,同时也包含了早期微分博弈的思想,对以后的微分博弈理论的创立有一定的启发作用。
短句来源
     Mathematical model using differential game theory for collision avoidance was formulated. The collision avoidance problem on urgent situation was converted into differential games problem.
     建立了避碰问题的微分博弈数学模型,将避碰问题转化为追逃微分博弈问题,用微分博弈的方法推导出追逃双方为了达到各自目的所应采取的最优控制策略,并给出了数值模拟算法。
短句来源
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  次微分对策
     Analysis Method for Nash Strategy of Linear Time Variant Quadratic Differential Game via Wavelets (Ⅰ) ——Wavelet Approximation Solution
     线性时变二次微分对策Nash策略的小波分析法(Ⅰ)——小波逼近解
短句来源
     Analysis Method for Nash Strategy of Linear Time Variant Quadratic Differential Game via Wavelets (Ⅱ) —Convergence of the Wavelet Approximation Solution
     线性时变二次微分对策Nash策略的小波分析法(Ⅱ)——小波逼近解的收敛性
短句来源
     Analysis Method for Saddle-point Strategy of Linear-quadratic Differential Game via Wavelets
     线性二次微分对策鞍点策略的小波分析法
短句来源
     The numerical problem for the saddle point strategy of linear quadratic differential game is studied. A new method is proposed based on the multi scale multi resolution approximation feature of wavelets.
     研究线性二次微分对策鞍点策略的数值求解问题 ,基于小波多尺度多分辨逼近特性 ,提出一种求解新方法。
短句来源
     This paper studies the convergence problem of the wavelet approximation analysis method. For Nash strategy of linear time variant quadratic differential game, we prove that the wavelet approximation solution of Nash strategy converge to the accurate solution. The order of error estimation is given based on the multi_scale multi_resolution approximation feature of wavelets.
     研究小波逼近分析方法的收敛性问题 ,对线性时变二次微分对策Nash策略情形 ,证明了Nash策略的小波逼近解收敛于精确解 ,基于小波逼近的多尺度多分辨特性 ,给出了误差估计的阶数
短句来源
  “differential game”译为未确定词的双语例句
     Genetic algorithm was also carried out to optimize guidance performance by using MATLAB.Third, this thesis thoroughly had also studied the three-dimensional differential game guidance law.
     考虑到目标做大机动运动的情况,给出在三维空间中最优制导律表达式,并运用遗传算法对制导性能进行寻优,最后并针对实例进行了仿真计算。
短句来源
     It is widely applied in various fields such as control theory and differential game theory, mathematic economics and decision theory, nonlinear optimal theory, biology mathematic, physics and topology, functional analysis, convex analysis and nonsmooth analysis, differential equation and differential inclusions and so on.
     在控制论和微分对策论、数理经济学和决策论、非线性最优化、生物数学、物理以及拓扑学、泛函分析、凸分析与非光滑分析、微分方程与微分包含等众多领域内有着广泛应用。
短句来源
     In the second case, taking the minimum of the terminal miss-distance and control energy consumption as the performance index, the optimal guidanc law has been derived from differential game theory. These optimal guidance laws have included the other guidance laws which didn't consider the blind area.
     对于后一种情况,以终端脱靶量及双方控制能量消耗之差为性能指标,以微分决策理论处理,得到了更为一般的最优制导规律。
短句来源
     By using a two-person zero-sum differential game method, an adaptive control law is constructed basing on the combination of H ∞ robust control law and parameter estimate.
     通过引入二人零和对策得到非自适应鲁棒控制律,并与参数估计结合得到自适应控制律。
短句来源
     Based on the concept of two person zero sum differential game, the sufficient conditions for the existence of an H ∞ state feedback controller to guarantee the robust stability and disturbance attenuation level is obtained, and the solution is given in terms of Hamilton Jacobi Isaacs equation.
     基于二人零和动态对策理论 ,给出并证明了系统鲁棒稳定以及扰动衰减问题解存在的充分条件 ,通过求解离散时间Hamilton jacobi Isaacs方程给出了其鲁棒H∞ 状态反馈控制解 .
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  differential game
A differential game of pursuit of an evader by m dynamic pursuers under simple motion is studied.
      
A differential game with cost defined by the distance between the evader and his nearest pursuer at the game completion instant is studied.
      
On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers
      
Studies are made of continuous methods of the deviation in one differential game on the plane with a nonconvex terminal set.
      
The problem under study can serve as an example of the nondegenerate differential game with a nonconvex terminal set, in which the attempt fails to assure the deviation with the aid of feedback control methods described by continuous mappings.
      
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In this paper, first of all, a brief history of the beginning and development of the differential games in the earlier stage is stated. Furthermore, as fundamental examples, a kind of two-person zero sum differential games and one of the qualitative differential games are presented, from which one can be more concretly to understand the properties of those researched in differential games.Some problems at present are also introduced, such as the games of pursuit in air-to-air combat,...

In this paper, first of all, a brief history of the beginning and development of the differential games in the earlier stage is stated. Furthermore, as fundamental examples, a kind of two-person zero sum differential games and one of the qualitative differential games are presented, from which one can be more concretly to understand the properties of those researched in differential games.Some problems at present are also introduced, such as the games of pursuit in air-to-air combat, the application of differential games in system engineering and the leader-follower strategy,the differential games with imperfect information , differential games with time lag , positional differential games, and the method of functional analysis in solving differential game problems, etc. Of course, these are not the all problems of today.More than 40 literatures are listed for further research.

本文首先叙述了微分对策问题的起源及其初期的发展简史,然后介绍一类二人零和的微分对策问题和一类定性微分对策问题,以进一步说明微分对策问题的性质,这是两种比较基本的微分对策问题。 最后,介绍当前的某些问题。例如,空战格斗中的追逐对策,微分对策在系统工程中的应用以及主——从对策,信息不完全的微分对策,有时滞的微分对策,阵地对策,以及泛函分析方法在微分对策理论中的应用等。当然,这些绝非现代问题的全部。 文末附有参考文献四十余篇,供进一步参考之用。

In this paper a method of synthesis of optimal guidance law by use of differential games and by means of an example considered only kinematical factor of a missile and a target is presented. By using two approaches, in this paper, it is illustrated that in specifically case the result obtained can be reduced to 2-dimensional properlional navigation. Finally, from these results a formula for evaluation of the time for terminal control saturation of homing guide is also given.

本文以一个只考虑导弹与目标运动学因素的例子介绍了利用微分对策理论综合最优制导律的方法,并用两种方法说明所得结果在一定条件下可以简化为两维的比例导引律。最后还根据结果给出计算寻的制导末段控制饱和时刻的表达式。

An optimal guidance law which considers kinetic factors of missile and target via first order inertial loop in three dimensional space is studied on the basis of the theory of differential games. An optimal feedback guidance law is given in vector form, and the control rigidity parameter"k"is introduced into the feedback gain. The "k" is a scalar with determinate physical meaning. It represents responded characteristics and controllability of the system. Hence, in addition to being a function of time the...

An optimal guidance law which considers kinetic factors of missile and target via first order inertial loop in three dimensional space is studied on the basis of the theory of differential games. An optimal feedback guidance law is given in vector form, and the control rigidity parameter"k"is introduced into the feedback gain. The "k" is a scalar with determinate physical meaning. It represents responded characteristics and controllability of the system. Hence, in addition to being a function of time the feedback gain is related with the characteristics of the system. So it is possible to develop the certain relations of the feedback gain to other parameters such as Ts, Ks,ξs as well as H, M etc. by further studying on the parameter"k". Therefore, an improvement for the effect of the guidance law can be obtained, In other words, since the control rigidity"k" is introduced, a new synthesis mean is provided to the further studying on the guidance law.Finally, several problems are discussed in brief: first, the degeneration of the optimal guidance law proposed is discussed under certain conditions; then, for the convenience of realization, a suboptimal guidance law is given in finite rigidity case by means of further simplification; and also the controllability of the system is illustrated essentially. In addition, the case of ξ≠1 is considered in Appendix.

本文利用微分对策理论方法研究了在三维空间里,以一阶惯性环节考虑导弹和目标动力学因素的最优制导律问题。给出了一个矢量形式的最优反馈制导律,并在反馈增益中引用了系统控制刚度参量k,进而给出了新的综合意义。 最后,在一定条件下,通过进一步近似还给出了一个次优制导律。

 
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