Control of the new 4th-order hyper-chaotic system with one input |
| |
| Institution: | 1. Department of Computer Engineering, Faculty of Computer and Information,Sakarya University, Sakarya, Turkey;2. Department of Electric & Electronic Engineering, Faculty of Engineering,Sakarya University, Sakarya, Turkey;1. Department of Physics, Jadavpur University, Kolkata 700 032, India;2. High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata 700 032, India |
| |
| Abstract: | We solve the problem of chaos suppression of Lü’s hyper-chaotic system via feedback control. We use only one control input and moreover the controller is a simple proportional feedback and uses the measurement of only one variable. We show that this simple control law suffices to stabilize the hyper-chaotic system to the zero equilibrium globally and asymptotically. We present stability proofs based on Lyapunov’s direct method and integration of solutions. As a corollary of our main result we draw the conclusion that the system is globally stabilizable by simply varying one parameter, when possible. Simulation experiments that show the effectiveness of our method are also presented. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
