对奥尔德罗伊德方程的等级控制在记忆中给了Luiz Adauto Medeiros教授
Isaías P DE Jesus1, Marcondes R Clark1, Alexandro M Oliveira2
1Universidade Federal do Piauí, DM, Campus Universitário Ministro Petrônio Portella, Bairro Ininga, SG-4, Av. Universitária, s/n, 64049-550 Teresina, PI, Brazil.
本研究使用Stackelberg-Nash策略来解决奥尔德罗伊德方程的等级控制. 它建立了纳什平衡,近似可控性,以及领导者控制的最佳性系统.
科学领域:
- 流体动力学 流体动力学
- 控制理论 控制理论 控制理论
- 数学建模的数学建模
背景情况:
- 奥尔德罗伊德方程模型粘弹性流体.
- 层次控制问题涉及多个具有不同目标的决策者.
- 斯塔克尔伯格-纳什策略结合了领袖-追随者和同时游戏元素.
研究的目的:
- 分析奥尔德罗伊德方程的等级控制问题.
- 根据斯塔克尔伯格-纳什策略调查该系统.
- 确定纳什平衡的存在,独特性和特征.
主要方法:
- 使用先进的控制理论技术.
- 将游戏理论概念应用于层次决策.
- 在微分方程中分析具有非正则系数的系统.
主要成果:
- 纳什平衡的存在和独特性已被证明.
- 提供了纳什平衡的表征.
- 已经证明了领导者控制的近似可控性.
结论:
- 这项研究为奥尔德罗伊德流体的层次控制提供了理论框架.
- 这些发现有助于理解流体动力学中复杂的控制策略.
- 引领控制的优化系统得到了推导,使实际应用成为可能.
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