Projective Synchronization by SMC for a class of Uncertain Chaotic System with Time Varying Delays

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International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2013 by IJMTT Journal
Volume-4 Issue-6                           
Year of Publication : 2013
Authors : Zhihui Huang

MLA

Zhihui Huang"Projective Synchronization by SMC for a class of Uncertain Chaotic System with Time Varying Delays"International Journal of Mathematical Trends and Technology (IJMTT),V4(6):86-90. 2013. Published by Seventh Sense Research Group.

Abstract
This paper is further to investigate the projective synchronization of a class of uncertain chaotic system with time varying delays. Based on the Lyapunov stability theorem, by using the LMI technique and designing a sliding mode control (SMC) approach, a less conservative yet sufficient condition is derived to guarantee the global stability of the error system. The feasible SMC law is designed such that the trajectory of the error system is globally driven onto the specified sliding surface. Numerical simulation result is represented to show the effectiveness of the proposed SMC laws. The projective synchronization is obtained at last.

References


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Keywords
—Chaotic system, Delay, Projective synchronization, sliding mode control.