Title :
Stabilizability of second-order bilinear systems
Author :
Koditschek, Daniel E. ; Narendra, Kumpati S.
Author_Institution :
Yale University, New Haven, CT, USA
fDate :
10/1/1983 12:00:00 AM
Abstract :
This note states necessary, and sufficient conditions for the existence of a linear state feedback controller such that a second-order bilinear system has a globally asymptotically stable closed loop. A suitable controller is constructed for each system which satisfies the conditions.
Keywords :
Asymptotic stability, nonlinear systems; Bilinear systems; State-feedback, linear systems; Closed loop systems; Control systems; Design optimization; Eigenvalues and eigenfunctions; Marine vehicles; Nonlinear systems; Optimal control; Propulsion; State feedback; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1983.1103153