Targeting control of chaotic systems

Targeting Control of chaos is concerned with taking advantage of sensitive dependence to initial conditions to coax a dynamical system to following a desirable trajectory. In other words, it, is taking advantage of the butterfly effect so that the rich spectrum of possible trajectories embedded within a chaotic attractor can be selected with extremely small energy input. We review historical and popular approaches which fall under this general area in an attempt to reveal these techniques in a useful manner for applied scientists.