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(Ⅱ)——小波逼近解的收敛性[J].控制理论与应用,2002,19(2):178~182.[点击复制]
ZHANG Chengke,WANG Xingyu.Analysis Method for Nash Strategy of Linear Time Variant Quadratic Differential Game via Wavelets(Ⅱ) —Convergence of the Wavelet Approximation Solution[J].Control Theory and Technology,2002,19(2):178~182.[点击复制]
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
Analysis Method for Nash Strategy of Linear Time Variant Quadratic Differential Game via Wavelets(Ⅱ) —Convergence of the Wavelet Approximation Solution
摘要点击 1472  全文点击 1068  投稿时间:1999-05-20  修订日期:2001-02-28
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DOI编号  
  2002,19(2):178-182
中文关键词  Nash策略  小波逼近  均方收敛
英文关键词  Nash strategy  wavelet approximation  convergence in the mean square
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(993303)资助项目.
作者单位
张成科 广东工业大学 经济管理学院 广州 510080 
王行愚 华东理工大学 自动控制系上海 200237 
中文摘要
      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.
英文摘要
      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.