Title :
Characterization of the strict bounded real condition of nonlinear systems
Author :
Imura, Jun-ichi ; Sugie, Toshiharu ; Yoshikawa, Tsuneo
Author_Institution :
Fac. of Eng., Hiroshima Univ., Japan
fDate :
10/1/1997 12:00:00 AM
Abstract :
This paper is concerned with the strict bounded real condition of nonlinear systems, which plays an important role in the nonlinear H∞-control theory. Namely, a necessary and sufficient condition for nonlinear systems to be internally asymptotically stable and to have the L2 gain <γ is given via the Hamilton-Jacobi equation with a stabilizing solution, although some assumptions are required
Keywords :
H∞ control; asymptotic stability; control system analysis; nonlinear systems; state feedback; H∞-control; Hamilton-Jacobi equation; L2 gain; asymptotic stability; nonlinear systems; state feedback; strict bounded real condition; Ellipsoids; Least squares approximation; Least squares methods; Linear regression; Measurement uncertainty; Nonlinear systems; Recursive estimation; Signal processing algorithms; Testing; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
