Title :
Global asymptotic stability of a class of nonlinear dynamical systems
Author_Institution :
Center for Res. in Sci. Corp., North Carolina State Univ., Raleigh, NC, USA
Abstract :
In this paper we systematically study the global asymptotic stability of a class of nonlinear dynamical systems based on the Liapunov function method. We obtain necessary and sufficient conditions (NASCs) for the existence of a Liapunov function of Lurie type with negative semi-definite derivative. We improve the Moore-Anderson theorem and the Popov frequency criterion in this field. An illustrative example is provided
Keywords :
Lyapunov methods; Popov criterion; asymptotic stability; feedback; nonlinear control systems; nonlinear dynamical systems; Liapunov function method; Lurie type; Moore-Anderson theorem; Popov frequency criterion; global asymptotic stability; negative semi-definite derivative; nonlinear dynamical systems; Aerospace control; Aircraft manufacture; Asymptotic stability; Automotive engineering; Circuit stability; Control theory; Feedback control; Nonlinear dynamical systems; Power system modeling; Power system stability;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.704048
