Generating chaos for discrete time-delayed systems via impulsive control.
Generating chaos for a class of discrete time-delayed systems via impulsive control is investigated in this paper. With the augmented matrix method, the time-delay impulsive systems can be transformed into a new class of linear discrete impulsive systems. Based on the largest Lyapunov exponent and the boundedness of the systems, some theoretical results about the chaotification for the discrete impulsive systems with time delay are derived and an example is given to visualize the satisfactory control performance.
Guan
Zhi-Hong
ZH
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
Liu
Na
N
D000465:Algorithms; D003198:Computer Simulation; D016014:Linear Models; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics; D012815:Signal Processing, Computer-Assisted; D013598:Systems Theory; D013997:Time Factors