DocumentCode
1615902
Title
Global asymptotic stability of a class of nonlinear dynamical systems
Author
Xiong, Kaiqi
Author_Institution
Center for Res. in Sci. Corp., North Carolina State Univ., Raleigh, NC, USA
Volume
3
fYear
1998
Firstpage
456
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ISCAS.1998.704048
Filename
704048
Link To Document