Title :
Fractional order hperjerk system with delay feedback
Author :
Wang, Wenlong ; Li, Gao ; Zhang, Chunrui
Author_Institution :
Dept. of Math., Northeast Forestry Univ., Harbin, China
Abstract :
In this paper, a fractional order hyperjerk system is considered. Firstly, we construct the fractional order hyperjerk system´s corresponding approximation integer order system by using time domain and frequency domain. Then, we analyze the dynamic properties of this integer order system, including stability, periodic solution and chaos. The application to chaotic delayed feedback control is investigated. Finally, some numerical simulations are carried out to illustrate the obtained results.
Keywords :
approximation theory; delay systems; feedback; nonlinear control systems; stability; time-frequency analysis; time-varying systems; approximation integer order system; chaos; chaotic delayed feedback control; fractional order hperjerk system; frequency domain analysis; periodic solution; stability; time domain analysis; Approximation methods; Bifurcation; Chaos; Fractals; Solitons; Time series analysis; Hopf bifurcations; chaos; delayed Feedback; fractional order hyperjerk system; periodic solution;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5582408
