Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 1994 | Published
Book Section - Chapter Open

Exponential stabilization of driftless nonlinear control systems via time-varying, homogeneous feedback


This paper brings together results from a number of different areas in control theory to provide an algorithm for the synthesis of locally exponentially stabilizing control laws for a large class of driftless nonlinear control systems. The stability is defined with respect to a nonstandard dilation and is termed "δ-exponential" stability. The δ-exponential stabilization relies on the use of feedbacks which render the closed loop vector field homogeneous with respect to a dilation. These feedbacks are generated from a modification of Pomet's algorithm (1992) for smooth feedbacks. Converse Lyapunov theorems for time-periodic homogeneous vector fields guarantee that local exponential stability is maintained in the presence of higher order (with respect to the dilation) perturbing terms.

Additional Information

© 1994 IEEE. Supported in part by AFOSR F49620-92J-0293. Supported in part by a grant from the Powell Foundation.

Attached Files

Published - 00411139.pdf


Files (615.8 kB)
Name Size Download all
615.8 kB Preview Download

Additional details

August 20, 2023
August 20, 2023