Year: 2026
Type: article
Abstract: In this paper, based on Lyapunov stability theory, sufficient conditions are established for the local stabilization of the equilibrium point of a class of chaotic nonlinear systems. The proposed conditions are expressed as explicit algebraic inequalities, making them easy to verify without computing the eigenvalues of the Jacobian matrix. The results support the design of control strategies for suppressing chaos and stabilizing system trajectories. Their effectiveness is demonstrated through several three-, four-, and five-dimensional chaotic systems, with numerical simulations confirming the theoretical results.
Source: Gulf Journal of Mathematics
DOI: 10.56947/w0sqw731
Institutions: King Abdulaziz University, Taibah University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7201864878