The convergence of iterative learning control for some fractional system

作者：Liu, Xianghu^*; Li, Yanfang; Liu, Yanmin

来源：Advances in Difference Equations, 2017, 2017(1): 132.

DOI：10.1186/s13662-017-1177-3

• Caputo fractional derivative
• iterative learning control
• convergence
• Gronwall ineqality
• P-type
• Mittag-Leffler function

In this paper, we study the convergence of iterative learning control for some fractional equation. Firstly, by using the Laplace transform and the M-L function, we show the concept of mild solutions. Secondly, by using the Gronwall inequality, we show the sufficient conditions of convergence for the open P-type and the close P-type iterative learning control. At last, we give some examples to illustrate our main results.

• 出版日期2017-5-8
• 单位遵义师范学院; 贵州大学