DocumentCode :
2406012
Title :
Existence of linear feedback control for certain types of global stability
Author :
Bose, Anil K. ; Cover, Alan S. ; Reneke, James A.
Author_Institution :
Dept. of Math. Sci., Clemson Univ., SC, USA
fYear :
1991
fDate :
10-12 Mar 1991
Firstpage :
46
Lastpage :
48
Abstract :
Deals with a class of nonlinear control systems of the form x´=Ax+f(x)+Bu where the nonlinear term f(x) is quadratic and has the orthogonality property xTf(x)=0 for all x. In the context of Lyapunov´s second method, the existence of a linear feedback control u=Kx is examined. Sufficient conditions are discussed for the system to be controlled to a system with the origin as a global asymptotic stable point or to a system which is point dissipative. A system is point dissipative if there exists a bounded region into which every trajectory eventually enters and remains
Keywords :
Lyapunov methods; feedback; nonlinear control systems; stability; Lyapunov´s second method; global stability; linear feedback control; nonlinear control systems; orthogonality; point dissipative; sufficient condition; Bismuth; Feedback control; Lyapunov method; Stability; Symmetric matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
System Theory, 1991. Proceedings., Twenty-Third Southeastern Symposium on
Conference_Location :
Columbia, SC
ISSN :
0094-2898
Print_ISBN :
0-8186-2190-7
Type :
conf
DOI :
10.1109/SSST.1991.138510
Filename :
138510
Link To Document :
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