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ABSTRACT: Bifurcation control deals with the modification of the bifurcation
characteristics of a parameterized nonlinear system by a judiciously
designed control input. We consider the problem of dynamic feedback
control of bifurcations. In particular, previous results on the control
of bifurcations using washout filters are extended to some general forms
of dynamic feedback controllers. It is shown that high-pass filters such
as washout filters can be represented by a special form of dynamic
feedback controller. The control effect on bifurcations can be readily
assessed by analytical formulae. These dynamic feedback controllers
offer more flexibility over the original controller in bifurcation
control. The results are viable for the design and analysis of nonlinear
control systems involving bifurcations
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on; 02/2000
