Pramana

, Volume 81, Issue 3, pp 417–437 | Cite as

Adaptive projective synchronization between different chaotic systems with parametric uncertainties and external disturbances

Article
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Abstract

The article deals with adaptive projective synchronization between two different chaotic systems with parametric uncertainties and external disturbances. Based on Lyapunov stability theory, the projective synchronization between a pair of different chaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter update rule for uncertain parameters are designed such that the chaotic response system controls the chaotic drive system. Numerical simulation results are performed to explain the effectiveness and feasibility of the techniques.

Keywords

Chaos uncertainty external disturbance Genesio–Tesi system Li system Lorenz system projective synchronization adaptive control 

PACS Nos

05.45.Xt 05.45.−a 05.45.Pq 05.45.Gg 
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Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

  • MAYANK SRIVASTAVA
    • 1
  • SAURABH K AGRAWAL
    • 1
  • SUBIR DAS
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of Technology (BHU)VaranasiIndia

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