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

  • Akram H. Shather Department of Communication Engineering, Technical College of Engineering, Sulaimani Polytechnic University, Sulaimani, Kurdistan Region, Iraq
Keywords: Backstepping method, Riccati differential equations, Lyapunov functions (Lf), Asymptotically stable


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 a transformation method for transforming the original system into an equivalent one which is stabilizable and solvable based on constructing the Lyapunov function.


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How to Cite
H. Shather, A. (2020). Backstepping Method for Stabilizing System of 2×2 Riccati Matrix Differential Equations. Al-Nahrain Journal of Science, 23(2), 52-59. Retrieved from