求解分数阶最优控制问题的一种数值格式
A numerical scheme to solve fractional optimal control problems
摘要:
我们回顾了最近的结果,以解决分数阶最优控制问题的自由终端时间和一个动态约束,包括整数和分数阶导数。一些特殊的情况下进行了详细研究。基于分数阶导数的展开公式,给出了一种数值格式。通过实例说明了该方法的有效性。
英文摘要:
We review recent results obtained to solve fractional order optimal control problems with free terminal time and a dynamic constraint involving integer and fractional order derivatives. Some particular cases are studied in detail. A numerical scheme is given, based on expansion formulas for the fractional derivative. The efficiency of the method is illustrated through examples.
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