ABSTRACT

This chapter deals with the control of bifurcations and chaos in nonlinear dynamical systems. This is a young subject area that is currently in a state of active development. Investigations of control system issues related to bifurcations and chaos began relatively recently, with most currently available results having been published within the past decade. Given this state of affairs, a unifying and comprehensive picture of control of bifurcations and chaos does not yet exist. Therefore, the chapter has a modest but, it is hoped, useful goal: to summarize some of the motivation, techniques, and results achieved to date on control of bifurcations and chaos. Background material on nonlinear dynamical behavior is also given, to make the chapter somewhat self-contained. However, interested readers unfamiliar with nonlinear dynamics will find it helpful to consult nonlinear dynamics texts to reinforce their understanding.