Arabian Journal for Science and Engineering

, Volume 44, Issue 3, pp 2717–2728 | Cite as

Synchronization Among Different Switches of Four Non-identical Chaotic Systems via Adaptive Control

  • Ayub Khan
  • Mridula Budhraja
  • Aysha IbraheemEmail author
Research Article - Systems Engineering


This manuscript deals with a new insight into multi-switching combination–combination synchronization among different chaotic systems for fully unknown parameters. The suitable controllers and parameter update laws are designed by employing adaptive control and Lyapunov stability approach, to achieve asymptotically stable synchronization states for two drive and two response systems. In order to demonstrate the proposed methodology, an example of Lorenz system, Lu system, Chen–Lee system and Wang system is considered where Lorenz system and Lu system are taken as drive systems and Chen–Lee system and Wang system are taken as response systems. Numerical results are performed to justify the theoretical approach. Computational and theoretical results are in excellent agreement.


Multi-switching synchronization Combination–combination synchronization Adaptive control Theory of Lyapunov stability 


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.Department of MathematicsJamia Millia IslamiaDelhiIndia
  2. 2.Department of MathematicsShivaji CollegeDelhiIndia
  3. 3.Department of MathematicsUniversity of DelhiDelhiIndia

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