Open AccessStability analysis of heartbeat system with lyapunov’s direct method
Author(s) -
. Tulus,
Lambok Siahaan,
T.J. Marpaung,
Muhammad Romi Syahputra
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1542/1/012054
Subject(s) - algorithm , materials science , artificial intelligence , computer science
The heart is a very vital organ. There are two main states in the heartbeat cycle, systole and diastole. The heartbeat system studied in this paper was taken from a study of Thanom and Loh in 2011. This paper is aimed to analyze the stability of the heartbeat system using Lyapunov’s Direct Method. This method requires a Lyapunov function. To construct the Lyapunov function, the Gradient Variable Method will be used. In this research, the Lyapunov function constructed V ( x ) = x 1 2 + x 2 2 , V ˙ ( x ) > 0 is obtained. This means V ˙ ( x ) is said to be a positive definite and the equilibrium point (0,0) of the heartbeat system is unstable.