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

Authors

  • 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

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

References

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Published

2020-06-04

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Section

Articles

How to Cite

[1]
“Backstepping Method for Stabilizing System of 2×2 Riccati Matrix Differential Equations”, ANJS, vol. 23, no. 2, pp. 52–59, Jun. 2020, Accessed: Mar. 29, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/2278