Bifurcation and control tactics in a fractional-order delayed single-model laser system
School of Mathematics and Statistics, Guizhou University of Finance and Economics, 550025, Guiyang, People’s Republic of China
2 Guizhou Key Laboratory of Big Data Statistical Analysis, 550025, Guiyang, Guizhou, China
Accepted: 27 April 2022
Published online: 12 May 2022
In order to grasp the inherent change law of laser to serve people effectively, setting up laser dynamical models is a very important aspect. In this work, we build a new fractional-order delayed single-model laser model. First of all, the existence and uniqueness of the solution to the involved fractional-order delayed single-model laser model is proved. Next, the stability and the generation of Hopf bifurcation are systematically explored. A delay-independent stability and bifurcation condition is obtained. Then, via designing an appropriate controller, we successfully control the time of onset of Hopf bifurcation for the considered fractional-order delayed single-model laser model. In the end, Matlab simulation results are presented to check the correctness of the derived key fruits. The obtained results in this work are completely novel and have momentous practical value in stabilizing system and control the balance of variables of single-model laser system.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022