2020/04/22 by Aliev, F. A., Aliev, N. A., Ismailov, N. A.
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2004.10388
A mathematical model of oscillatory systems control with liquid dampers is considered which differs from the classical ones by replacing the first derivative of such a fractional derivative that is between numbers 0 and 2 other than unity. Using the methods of constructing Letov controllers, a control law is constructed that ensures the asymptotic stability of the closed system and minimizes the quadratic functional. The results are illustrated by a specific numerical example.