Title :
A simple method for generating Lyapunov functions
Author :
Davari, Asad ; Ghaphery, Abraham
Author_Institution :
Dept. of Electr. Eng., West Virginia Inst. of Technol., Montgomery, WV, USA
Abstract :
A method for generating Lyapunov functions that is useful for determining the stability criterion of second-order nonlinear autonomous systems is developed. The idea is based on varying slopes in the phase plane. These slopes define the phase trajectories of the nonlinear system. The method is very simple compared with existing methods. Several examples illustrate this point
Keywords :
Lyapunov methods; nonlinear systems; phase space methods; stability criteria; Lyapunov functions; autonomous systems; phase plane; phase trajectories; second-order nonlinear functions; slope variation; stability criterion; Asymptotic stability; Control theory; Differential equations; Gradient methods; Lyapunov method; Nonlinear systems; Tellurium; Tires;
Conference_Titel :
System Theory, 1989. Proceedings., Twenty-First Southeastern Symposium on
Conference_Location :
Tallahassee, FL
Print_ISBN :
0-8186-1933-3
DOI :
10.1109/SSST.1989.72431
