一类带有Jumarie修正Riemann-Liouville导数的分数阶最优控制问题

2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR) Pub Date : 2014-11-20 DOI:10.1109/MMAR.2014.6957339

R. Kamocki

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引用次数: 2

摘要

研究一类具有修正Riemann-Liouville导数的分数阶非线性连续控制系统。研究了该系统解的存在唯一性和解对控制的连续依赖性。最后，证明了具有非线性积分性能指标的最优解的存在性定理。

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On a fractional optimal control problem with Jumarie's modified Riemann-Liouville derivative

In the paper, a fractional nonlinear continuous control system with modified Riemann-Liouville derivative is considered. An existence and uniqueness of a solution and continuous dependence of solutions on controls to such system are investigated. Finally, a theorem on the existence of optimal solutions to this one with a nonlinear integral performance index is proved.

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来源期刊

2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR)

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