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Making a continuous-time minimum-phase system chaotic by using time-delay feedback

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3 Author(s)
Xiao Fan Wang ; Dept. of Autom. Control, Nanjing Univ., China ; Guanrong Chen ; Man, K.F.

A time-delay feedback control approach is developed for making a continuous-time minimum-phase system chaotic. The approach is based on the geometric control theory and a suitable approximate relationship between a time-delay differential equation and a discrete map. If the original system has an exponentially stable equilibrium point, then a simple time-delay output-feedback controller with arbitrarily small amplitude can drive the system chaotic. Two different types of simulation examples are included for demonstration

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:48 ,  Issue: 5 )