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

Zhihui Huang

doi:https://doi.org/10.14445/22315373/IJMTT-V4I6P1

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 6 | Year 2013 | Article Id. IJMTT-V4I6P1 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I6P1

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

Zhihui Huang

Citation :

Zhihui Huang, "Projective Synchronization by SMC for a class of Uncertain Chaotic System with Time Varying Delays," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 6, pp. 86-90, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I6P1

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.

Keywords

Chaotic system, Delay, Projective synchronization, sliding mode control

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