Discrete-time homogeneous Lyapunov functions for homogeneous difference inclusions

  title={Discrete-time homogeneous Lyapunov functions for homogeneous difference inclusions},
  author={S. E. Tuna and A. R. Teel},
  journal={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)},
  pages={1606-1610 Vol.2}
In this paper, we consider homogeneity (of discrete-time systems) with respect to generalized dilations, which define a broader class of operators than dilations. The notion of generalized dilations allows us to deal with the stability of attractors that are more general than a single point, which may be unbounded sets. We study homogeneous difference inclusions where every solution passed through a homogeneous measure function is bounded from above by a class-KL estimate in terms of time and… CONTINUE READING

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

A Lyapunov approach to frequency analysis

Proceedings of the 2004 American Control Conference • 2004
View 1 Excerpt

Generalized dilations and numerically solving discrete-time homogeneous optimization problems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) • 2004
View 2 Excerpts

Stabilization and nilpotent approximations

M. Kawski
In Proceedings of the 27th IEEE Conference on Decision and Control, • 2003
View 1 Excerpt

Smooth Lyapunov functions for homogeneous differential inclusions

H. Nakamura, Y. Yamashita, H. Nishitani
In Proceedings of the 41st SICE Annual Conference, • 2002
View 1 Excerpt

Global stabilization of discrete-time homogeneous systems

H. Hammouri, S. Benamor
Systems & Control Letters, • 1999

Asymptotic stability and smooth Lyapunov functions

F. H. Clarke, Y. S. Ledyaev, R. J. Stern
J. Differential Equations, • 1998
View 3 Excerpts

Spatial discretization of mappings

P. Diamond, P. Kloeden
Computers Math. Applic., • 1993
View 2 Excerpts

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