Feedback Stabilization and Lyapunov Functions

  title={Feedback Stabilization and Lyapunov Functions},
  author={Francis H. Clarke and Yuri S. Ledyaev and L. Rifford and R. J. Stern},
  journal={SIAM J. Control and Optimization},
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given tolerance. A further result shows that suitable Lyapunov functions of this type exist under mild assumptions. We also establish a robustness property of the feedback relative to measurement error commensurate with the sampling rate of the control implementation scheme. 
Highly Cited
This paper has 109 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.

110 Citations

Citations per Year
Semantic Scholar estimates that this publication has 110 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 31 references

A Lyapunov-like Characterization of Asymptotic Controllability *

View 5 Excerpts
Highly Influenced

Nonsmooth analysis and control theory [Book Review]

IEEE Transactions on Automatic Control • 2001

Asymptotic stability and smooth Lyapunov functions

F. H. Clarke, Yu.S. Ledyaev, R. J. Stern
J. DIfferential Equations, • 1998
View 1 Excerpt

Nonsmooth Analysis and Control Theory. Springer-Verlag, Graduate Texts

F. H. Clarke, Yu.S. Ledyaev, R. J. Stern, P. R. Wolenski
View 3 Excerpts

Qualitative properties of trajectories of control systems : a survey

Yu. S. Ledyaev, R. J. Stern, P. R. Wolenski
J . Dyn . Control Sys . • 1998

The synthesis of universal pursuit strategies in differential games

F. H. Clarke, Yu.S. Ledyaev, A. I. Subbotin
SIAM J. Control and Optim., • 1997
View 1 Excerpt


H. Hermes
stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellman equations. Math. Control Signals Systems, 9:59–72 • 1996
View 2 Excerpts

Similar Papers

Loading similar papers…