Abstract
The objective of this work is to study Lyapunov approaches for the estimation and the enlargement of Asymptotic Stability Region of nonlinear autonomous systems. These approaches have been investigated in order to develop digital algorithms based on the synthesis of a quadratic and maximum Lyapunov functions. The results on all three explored methods: McCann Method, estimation method via a Maximal Lyapunov function and the estimation method via a Quadratic Lyapunov function, showed that this variety of methods- Is efficient for a large class of nonlinear systems. - Has an interesting capacity of enlargement of the asymptotic stability region. - Is characterized by an obvious property of implementation for reduced and high order nonlinear systems. The efficiency and the validation of the investigated methods are tested via a simulation study. The performances of all methods are compared and discussed via the study of the well known the Van der Pol model.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
