This paper is published in Volume-10, Issue-1, 2024
Area
Control System
Author
Aarti Varshney, Vishal Goyal
Org/Univ
GLA University, Bharthia, Uttar Pradesh, India
Keywords
Nonlinear ODE, Energy, Lyapunov Function, Asymptotic Stability
Citations
IEEE
Aarti Varshney, Vishal Goyal . A case study on Lyapunov stability analysis of nonlinear systems with ordinary differential equations, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
Aarti Varshney, Vishal Goyal (2024). A case study on Lyapunov stability analysis of nonlinear systems with ordinary differential equations. International Journal of Advance Research, Ideas and Innovations in Technology, 10(1) www.IJARIIT.com.
MLA
Aarti Varshney, Vishal Goyal . "A case study on Lyapunov stability analysis of nonlinear systems with ordinary differential equations." International Journal of Advance Research, Ideas and Innovations in Technology 10.1 (2024). www.IJARIIT.com.
Aarti Varshney, Vishal Goyal . A case study on Lyapunov stability analysis of nonlinear systems with ordinary differential equations, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
Aarti Varshney, Vishal Goyal (2024). A case study on Lyapunov stability analysis of nonlinear systems with ordinary differential equations. International Journal of Advance Research, Ideas and Innovations in Technology, 10(1) www.IJARIIT.com.
MLA
Aarti Varshney, Vishal Goyal . "A case study on Lyapunov stability analysis of nonlinear systems with ordinary differential equations." International Journal of Advance Research, Ideas and Innovations in Technology 10.1 (2024). www.IJARIIT.com.
Abstract
The main concern of this paper is the stability analysis of nonlinear systems. For evaluating the stability of a system around an equilibrium point, firstly need to understand the basic concepts of stability theory and then explore different methods to apply on the systems to check and verify the required conditions for it. This work emphasizes on the conditions needed to guarantee asymptotic stability in nonlinear dynamic autonomous systems of continuous-time.
