Containment control for delayed fractional multiple agent systems in Riemann–Liouville sense

Xinyu Fu, Song Liu and Xiaoyan Li

International Journal of Systems Science, 2021, vol. 52, issue 9, 1913-1924

Abstract: This paper analyses containment control (CC) of Riemann–Liouville fractional multiple agent systems with time delays. A reliable and simple method is addressed to deal with CC, some simple sufficient conditions are proposed by utilising traditional Lyapunov direct method, properties of fractional calculus and analytical technique. The main advantage of our method is that the first-order derivative of Lyapunov function can be taken to avoid complicated calculation, which may overcome well the difficulties arising from fractional derivatives and time delays. In the end, numerical examples are offered to further demonstrate the reliability of our conclusions.

Date: 2021
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DOI: 10.1080/00207721.2021.1872117

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