Bifurcation control in systems governed by functional differential equations

Provides explicit sufficient conditions under which a Hopf bifurcation in systems described by functional differential equations can be stabilized. The main assumption is that the bifurcating modes are linearly unstabilizable and all other modes are linearly stabilizable. Stabilization of a Hopf bifurcation is defined as the existence of sufficiently smooth feedback control laws such that the Hopf bifurcation for the closed loop systems is supercritical. The construction of stabilizing control laws is explicit. We also give an example to illustrate the theory.