Analysis of Dynamics and Stability of an Eight-Dimensional Machining System with Cryptographic Applications
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Abstract
When studying dynamic systems, the Hamilton function and Lyapunov stability theory are integral to understanding and maintaining them. In the present paper, an eight-dimensional nonlinear system will be considered, and its potential for use in safety applications will be evaluated. In Lyapunov-based robust control theory, a desirable candidate Lyapunov function is revisited, enabling it to assess the stability of the current system even under external attacks. Hamiltonian equations were used to describe the system's energy dynamics, enabling the generation of secure encryption keys for cryptographic applications. The simulation results validate this model’s correctness and security, and it can be widely used in engineering and scientific applications.
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THIS IS AN OPEN ACCESS ARTICLE UNDER THE CC BY LICENSE http://creativecommons.org/licenses/by/4.0/
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