Anticontrol of chaos in continuous-time systems via time-delay feedback.
In this paper, a systematic design approach based on time-delay feedback is developed for anticontrol of chaos in a continuous-time system. This anticontrol method can drive a finite-dimensional, continuous-time, autonomous system from nonchaotic to chaotic, and can also enhance the existing chaos of an originally chaotic system. Asymptotic analysis is used to establish an approximate relationship between a time-delay differential equation and a discrete map. Anticontrol of chaos is then accomplished based on this relationship and the differential-geometry control theory. Several examples are given to verify the effectiveness of the methodology and to illustrate the systematic design procedure. (c) 2000 American Institute of Physics.
Wang
Xiao Fan
XF
Department of Automatic Control, Nanjing University of Science and Technology, Nanjing, 210094, People's Republic of China.
Chen
Guanrong
G
Yu
Xinghuo
X