Title :
Immersion and immersion by nonsingular feedback of a discrete-time nonlinear system into a linear system
Author :
Lee, Hong-gi ; Marcus, Steven I.
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
5/1/1988 12:00:00 AM
Abstract :
An analytic discrete-time nonlinear system is considered. Necessary and sufficient conditions for immersion of the system into a linear system are given. Local immersion is defined by nonsingular feedback into a linear system and given necessary and sufficient conditions for this problem. It is shown that a similar approach can also be applied to continuous-time affine nonlinear systems
Keywords :
discrete time systems; feedback; linear systems; nonlinear control systems; continuous-time affine nonlinear systems; discrete-time nonlinear system; immersion; linear system; necessary conditions; nonsingular feedback; sufficient conditions; Automatic control; Control systems; Linear approximation; Linear feedback control systems; Linear systems; Nonlinear systems; Optimal control; Robust control; State feedback; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
