Title :
Feedback linearization control of a class of discrete chaotic predator-prey system
Author :
Jing-chao, Fu ; Chun-li, Liu ; Zhong-hua, Zhang
Author_Institution :
Coll. of Sci., Northeastern Dianli Univ., Jilin, China
Abstract :
In allusion to complex dynamic behaviors such as bifurcation and chaos in a discrete predator-prey model, presence of chaos is validated by computing Lyapunov exponent measure method and giving the bifurcation portrait with parameter in the system. By applying the feedback linearization method to control the chaos to unstable fixed points, chaos trajectory in the system is controlled in the anticipant trajectory and chaos phenomenon is eliminated. The correctness and feasibility of the theory is validated by simulation.
Keywords :
Lyapunov methods; bifurcation; chaos; discrete systems; feedback; linearisation techniques; predator-prey systems; Lyapunov exponent measure method; bifurcation portrait; discrete chaotic predator-prey system; feedback linearization control; Bifurcation; Biological system modeling; Chaos; Eigenvalues and eigenfunctions; Mathematical model; Orbits; Predator prey systems; Chaos; Discrete predator-prey model; Feedback linearization method; Lyapunov exponent;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968966
