| 引用本文: | 张成科,王行愚.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[J].控制理论与应用,2002,19(1):57~60.[点击复制] |
| ZHANG Chengke,WANG Xingyu.Analysis Method for Nash Strategy of Linear Time Variant Quadratic Differential Game via Wavelets (Ⅰ) ——Wavelet Approximation Solution[J].Control Theory and Technology,2002,19(1):57~60.[点击复制] |
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| 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 |
| Analysis Method for Nash Strategy of Linear Time Variant Quadratic Differential Game via Wavelets (Ⅰ) ——Wavelet Approximation Solution |
| 摘要点击 1347 全文点击 898 投稿时间：1999-05-20 修订日期：2000-02-28 |
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| DOI编号 10.7641/j.issn.1000-8152.2002.1.011 |
| 2002,19(1):57-60 |
| 中文关键词 线性二次微分对策 Nash策略 小波分析 |
| 英文关键词 linear_quadratic differential game Nash strategy wavelets analysis |
| 基金项目 高校博士学科点专项科研基金(96025110); 广东工业大学自选科研项目(993303)资助项目 |
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| 中文摘要 |
| 基于小波多尺度逼近特性, 提出了一种求解线性时变系统中微分对策Nash策略的新方法. 该法避免求解耦合Riccati微分方程, 而只需求解代数方程, 适合于计算机求解. |
| 英文摘要 |
| This paper proposes a new method for computing the Nash strategy of linear time_variant quadratic differential game based on the multi_scale multi_resolution approximation feature of wavelets. The new method changes the problem into the limitation of algebraic equations, and avoids computing a pair of cross_coupled Riccati equations by computing an algebraic equation instead. The procedure is very simple and suitable for computation with a computer. |