Discrete-time homogeneous Lyapunov functions for homogeneous difference inclusions

@article{Tuna2004DiscretetimeHL,
  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)},
  year={2004},
  volume={2},
  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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