The Delayed Feedback Control method was invented in 1992 by K.Pyragas for the stabilization of laser beam models. In spite of serious limitations, the method became a popular tool of stabilization of chaotic behavior of nonlinear dynamic systems.

In this talk I am going to introduce a reasonable generalization of the method which removes basic limitations of the DFC.

This is a joint talk with D.Dmitrishin, A.Khamitova and A.Solyanik.