Global Asymptotic Controllability Implies Input to State Stabilization
Optimization and Control
2007-05-23 v2
Abstract
We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state stable with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed.
Cite
@article{arxiv.math/0305067,
title = {Global Asymptotic Controllability Implies Input to State Stabilization},
author = {Michael Malisoff and Ludovic Rifford and Eduardo Sontag},
journal= {arXiv preprint arXiv:math/0305067},
year = {2007}
}
Comments
15 pages, 0 figures, conference version submitted in February 2003, journal version submitted in January 2003. Revised and accepted for publication in SIAM Journal on Control and Optimization in August 2003