CONTROL OF CHAOS VIA EXTENDED DELAY FEEDBACK

We present a linear analysis for a recently proposed modification of t he delay feedback control technique that allows one to stabilize unsta ble periodic orbits of a strange attractor over a large domain of para meters. The method uses a continuous feedback loop incorporating infor mation from many previous states of the system in a form closely relat ed to the amplitude of light reflected from a Fabry-Perot interferomet er. We illustrate the possibility of stabilizing high-periodic orbits and fixed points with large values of Lyapunov exponents.