International Journal of Bifurcation and Chaos · 1995 · 32 citations · 0 references
Natural SciencesMathematicsDynamical SystemsOptimizationSystem DynamicsChaos TheoryControl Of Dynamical SystemsControl SystemsControl TheoryOptimal ControlTrajectory GenerationChaos ControlChaos In Dynamical SystemsChaotic DynamicsChaotic OrbitsOpen-loop ControlOpen-loop Optimal ControlOptimal Control Of TrajectoriesRandom Noise
In this paper, we consider the directing of orbits of discrete chaotic dynamical systems towards desired targets. Our aim is to significantly reduce the time needed to reach a target region by applying only small, bounded perturbations. We derive an open-loop control from methods of optimal control theory, and we discuss the effects of random dynamical noise on the open-loop control.