Title :
Feedback stabilization of planar nonlinear systems. II
Author :
Boothby, William M. ; Marino, R.
Author_Institution :
Dept. of Math., Washington Univ., St. Louis, MO, USA
Abstract :
For pt.I, see Systems and Control Lett., vol.12, p.87-92 (1989). It is shown that in the generic case a planar nonlinear system, linear in a single control, can be stabilized at any isolated equilibrium point at which an obvious necessary condition for stability is not satisfied. The results apply to Cω systems and to generic C∞ systems. The proofs are based on the center manifold theorem
Keywords :
algebra; feedback; nonlinear control systems; stability; Cω systems; center manifold theorem; feedback stabilisation; generic C∞ systems; planar nonlinear systems; Control system analysis; Control systems; Controllability; Failure analysis; Nonlinear control systems; Nonlinear systems; Polynomials; Stability; State feedback; Sufficient conditions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70510
