Adaptive Backstepping Method for Stabilizing Systems of Fractional Order Ordinary Differential Equations

  • Asad Jassim 1Department of Mathematics, College of Science, Mustansiriyah University
  • Fadhel S. Fadhel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq
  • Nabaa N. Hasan Department of Mathematics, College of Science, Mustansiriyah University
Keywords: Backstepping method, Fractional differential equations, Stability, Lyapunov method

Abstract

In this paper the method of adaptive backstepping for stabilizing and solving system of ordinary and partial differential equations will be used and applied to investigate and study the stability linear systems of Caputo fractional order ordinary differential equations. The basic idea of this approach is to find a quadratic Lyapunov functions for stabilizing the subsystems.

Published
2021-12-31
How to Cite
Jassim, A., S. Fadhel, F., & N. Hasan, N. (2021). Adaptive Backstepping Method for Stabilizing Systems of Fractional Order Ordinary Differential Equations. Al-Nahrain Journal of Science, 24(4), 46-51. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/2453
Section
Articles