Title :
On the Trapping Region of the Trajectories of Chaotic Lorenz-type System
Author :
Fengyun, Sun ; Yi, Zhao
Author_Institution :
Zhongshan Univ., Guangzhou
Abstract :
In this paper, it is shown that all solutions of the chaotic system are contained in a trapping region. For the typical parameters values that the chaotic attractor is bounded is displayed. By constructing a suitable Lyapunov function, we show that for the system parameters in some specified regions, the solutions of the chaotic system are globally bounded.
Keywords :
Lyapunov methods; chaos; Lyapunov function; chaotic Lorenz-type system; trapping region; Chaos; Control systems; Equations; Linear matrix inequalities; Lyapunov method; Mathematics; Numerical simulation; Orbits; Sun; Boundedness of solution; Lorenz-type system; Lyapunov function;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347297
