Open Access Library Journal

Volume 7, Issue 2 (February 2020)

ISSN Print: 2333-9705   ISSN Online: 2333-9721

Google-based Impact Factor: 0.73  Citations  

Stability and Adaptive Control with Sychronization of 3-D Dynamical System

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DOI: 10.4236/oalib.1106075    297 Downloads   874 Views  Citations

ABSTRACT

A three-dimensional system is presented with unknown parameters that employs two nonlinearities terms. The basic characteristics of the system are studied. The stability is measured by Characteristic equation roots, Routh stability criteria, Hurwitz stability criteria and Lapiynov function, all show that the system unstable. Then, Chaoticity is measured by maximum Lapiynov exponent of (Lmax=2.509426) and “Kaplan-Yorke” dimension (DL=2.22349544). The system is controlled effectively and synchronized by designed adaptive controllers. Furthermore, the theoretical and graphic results of the system before and after control are compared.

Share and Cite:

Aziz, M. and Merie, D. (2020) Stability and Adaptive Control with Sychronization of 3-D Dynamical System. Open Access Library Journal, 7, 1-18. doi: 10.4236/oalib.1106075.

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