Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system
International Journal of Intelligent Computing and Cybernetics
ISSN: 1756-378X
Article publication date: 13 June 2016
Abstract
Purpose
The purpose of this paper is with delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system.
Design/methodology/approach
Based on linear matrix inequality and algebra Riccati matrix equation, the stabilization result is derived to guarantee asymptotically stable and applicated in chaos synchronization of Rössler chaotic system with multiple time-delays.
Findings
A controller is designed and added to the nonlinear system with multiple time-delays. The stability of the nonlinear system at its zero equilibrium point is guaranteed by applying the appropriate controller signal based on linear matrix inequality and algebra Riccati matrix equation scheme. Another effective controller is also designed for the global asymptotic synchronization on the Rössler system based on the structure of delay-independent stabilization of nonlinear systems with multiple time-delays. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme.
Originality/value
The introduced approach is interesting for delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system.
Keywords
Acknowledgements
This work was jointly supported by Research Foundation of Department of Education of Sichuan Province (Grant Nos. 14ZA0203 and 14ZB0210), Open Foundation of Enterprise Informatization and Internet of Things Key Laboratory of Sichuan Province (Grant Nos. 2014WYJ01 and 2013WYY06), Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (Grant Nos. 2014RYY02 and 2013RYJ01), the Science Foundation of Sichuan University of Science and Engineering (Grant No. 2014PY14 and 2014RC11), and National Natural Science Foundation of China (Grant No. 6160021729).
Citation
He, P. and Fan, T. (2016), "Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system", International Journal of Intelligent Computing and Cybernetics, Vol. 9 No. 2, pp. 205-216. https://doi.org/10.1108/IJICC-02-2016-0008
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited