Backstepping Method for Stabilizing System of 2×2 Riccati Matrix Differential Equations

Abstract

In this research paper, the backstepping method (BSM) will be proposed for stabilizing and solving system of 2×2 Riccati matrix ordinary differential equations. Such equations have many difficulties in the studying their solutions and stability. The basic idea behind of this approach is to use the BSM as atransformation method for transforming the original system into an equivalent one which is stabilizable and solvable based on constructing the Lyapunov function.