Chaos Control

Abstract

In the previous chapters we have discussed the control theory from a mechanical and field theoretical point of view. This control theory is, of course, applicable to all deterministic evolution equations and leads, under correct formulated initial and boundary conditions and under a reasonable coupling between the control functions and the system, to an optimal control. The scope of these control methods is very large; however these methods require three important considerations: (i) the complete knowledge about the dynamics of the system (ii) accurately determined initial conditions, and (iii) a permanent and nondelayed control by a control function u(t) continuously varying over the whole control period.