首页|Bifurcation and PD rho control tactics in a fractional-order delayed single-model laser system
Bifurcation and PD rho control tactics in a fractional-order delayed single-model laser system
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NSTL
Springer Nature
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 PD rho 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.
NSTL
Springer Nature
