Stability and Instability Divergence Conditions for Dynamical Systems
Systems and Control
2020-04-02 v1 Systems and Control
Optimization and Control
Abstract
A novel method for stability and instability study of autonomous dynamical systems using the flow and divergence of the vector field is proposed. A relation between the method of Lyapunov functions and the proposed method is established. Bendixon and Bendixon-Dulac theorems for th dimensional systems are extended. Based on the proposed method, the state feedback control law is designed. The control signal is obtained from the partial differential inequality. The examples illustrate the application of the proposed method and the existing ones.
Cite
@article{arxiv.2004.00428,
title = {Stability and Instability Divergence Conditions for Dynamical Systems},
author = {Igor Furtat},
journal= {arXiv preprint arXiv:2004.00428},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2003.13002