Abstract

The purpose of this paper is to review the most interesting control concepts developed for chaotic circuits and systems. In most cases the goal of the control procedure is in converting chaotic behavior into a periodic or constant motion. There also exist specific tasks where chaotic behavior is advantageous—due to extreme sensitivity to changes in initial state it is possible to direct trajectories to targets much faster than without control. Tracking of specific chaotic trajectories might be useful in communication schemes—where chaos is used to hide useful information. The control concepts described include: (i) system parameter variation, (ii) chaotic oscillation absorber, (iii) entrainment, (iv) error feedback methods, (v) time-delayed feedback, and (vi) methods for stabilizing unstable periodic orbits: occasional proportional feedback and sampled input waveform methods. Potential strengths and weaknesses of these methods are discussed.

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