Global Asymptotic Controllability Implies Input to State Stabilization

Details Global Asymptotic Controllability Implies Input to State Stabilization Global Asymptotic Controllability Implies Input to State Stabilization

2003-05-04

arxiv.org/abs/math/0305067v2

SIAM Journal on Control and Optimization, Volume 42, Number 6, pp. 2221-2238, 2004

Mathematics

Optimization and Control

15 pages, 0 figures, conference version submitted in February 2003, journal version submitted in January 2003. Revised and acc

Scientific paper

10.1137/S0363012903422333

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.

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