The Generalized Backstepping Control Method for Stabilizing and Solving Systems of Multiple Delay Differential Equations

Authors

  • Fadhel S Fadhel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.
  • Saja F Noaman M.Sc. Student, Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

Backstepping control method, Delay differential equations, Boundary control problems, Method of steps, Stabilization of delay differential equations, Lyapunov functions

Abstract

In this paper, a generalized approach of the backstepping method for stabilizing and solving system of ordinary differential equations will be applied for systems of differential equations with multiple delay by transforming the non-linear system of delay differential equations into a system of ordinary differential equations with cooperation of the method of steps. The basic idea of this approach is to find Lyapunov function for stabilizing the system of different time steps which is chosen as the definitions of the present approach.  

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Published

2018-10-25

Issue

Vol. 0 No. 1 (2018): Conference

Section

Articles

How to Cite

(1)
The Generalized Backstepping Control Method for Stabilizing and Solving Systems of Multiple Delay Differential Equations. ANJS 2018, No. 1, 150-156.