Local feedback stabilization and bifurcation control, I. Hopf bifurcation

E.H. Abed, A simple proof of stability on the center manifold for Hopf bifurcation, Siam Review, to appear.

Abed, 1985, Singularly perturbed Hopf bifurcation, IEEE Trans. Circuits and Systems, 32, 1270, 10.1109/TCS.1985.1085669

Aeyels, 1985, Stabilization of a class of nonlinear systems by a smooth feedback control, Systems Control Lett., 5, 289, 10.1016/0167-6911(85)90024-6

Brockett, 1983, Asymptotic stability and feedback stabilization, 181

Carr, 1981

Casti, 1979

Chow, 1982

Fu, 1985

Guckenheimer, 1983, Persistent properties of bifurcations, Physica D, 7, 105, 10.1016/0167-2789(83)90120-3

Hassard, 1981

Hopf, 1942, Bifurcation of a periodic solution from a stationary solution of a system of differential equations, Ber. Math. Phys. Kl. Sacks, Akad. Wiss., 94, 3

L.N. Howard and N. Koppell, Editorial comments (on Hopf's paper), Section 5A in [16].

Howard, 1979, Nonlinear oscillations, 1

Looss, 1980

Kailath, 1980

Marsden, 1976

Mehra, 1977

Mehra, 1977, Catastrophe theory, nonlinear system identification and bifurcation control, 823

Poore, 1976, On the theory and application of the Hopf-Friedrichs bifurcation theory, Arch. Rational Mech. Anal., 60, 371, 10.1007/BF00248886

Sussmann, 1979, Subanalytic sets and feedback control, J. Differential Equations, 31, 31, 10.1016/0022-0396(79)90151-7