Feedback Control of Bifurcation and Chaos in Dynamical Systems
Technical research rept.
MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
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Feedback control of bifurcation and chaos in nonlinear dynamical system is discussed. Open problems in bifurcation control are noted. The past two decades have witnessed a steadily increasing appreciation of nonlinear dynamics across a broad range of disciplines. Applications of bifurcation and chaos have appeared in many areas of science, engineering, and the social sciences. The main purpose of this article is to discuss the role which nonlinear dynamics has played in the cross-disciplinary field of automatic control. The article also discusses in some detail the analysis and control of period-doubling bifurcations, and application to control of the associated route to chaos. Thoughts on some open problems are given, emphasizing the needed interplay between nonlinear dynamics and control theory.
- Numerical Mathematics
- Theoretical Mathematics
- Operations Research
- Human Factors Engineering and Man Machine Systems