Pyragas stabilizability via delayed feedback with periodic control gain

• Pyragas stabilizability problem for unstable periodical solution is considered.
• An algorithm of stabilization via periodical delayed feedback is obtained.
• Analytical criteria of Pyragas stabilizability is proved.

In this paper for the unstable periodic solution of nonlinear differential equation, Pyragas stabilizability problem is studied. An algorithm of stabilization via periodical delayed feedback is obtained. The consideration is based on the theory of nonstationary stabilization.