FEEDBACK STABILIZATION OF REAL ANALYTIC SYSTEMS IN THE PLANE

Authors
LIU WS
Citation
Ws. Liu, FEEDBACK STABILIZATION OF REAL ANALYTIC SYSTEMS IN THE PLANE, Systems & control letters, 25(2), 1995, pp. 131-139
Citations number
10
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
25
Issue
2
Year of publication
1995
Pages
131 - 139
Database
ISI
SICI code
0167-6911(1995)25:2<131:FSORAS>2.0.ZU;2-0
Abstract
We investigate the local feedback stabilization of single input contro l affine analytic systems x = f(x) + ug(x) in the plane. New necessary and sufficient conditions for local stabilization with feedback laws of the form u = v(x,, x,), (delta v/delta x(1) (0, 0))(2) + (delta v/d elta x(1) (0, 0))(2) not equal 0, v(0, 0) = 0, are obtained by using L yapunov's stability theorems on two-dimensional analytic systems. If t he sufficient conditions are satisfied, we also provide explicit feedb ack laws.