Global Asymptotic Controllability Implies Input to State Stabilization
arXiv:math/0305067 · doi:10.1137/S0363012903422333
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.
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