English

Minkowski-Lyapunov Functions: Alternative Characterization and Implicit Representation

Optimization and Control 2021-12-10 v3 Dynamical Systems

Abstract

An alternative characterization of Minkowski--Lyapunov functions is derived. The derived characterization enables a computationally efficient utilization of Minkowski--Lyapunov functions in arbitrary finite dimensions. Due to intrinsic duality, the developed results apply in a direct manner to the characterization and utilization of robust positively invariant sets.

Keywords

Cite

@article{arxiv.2108.05770,
  title  = {Minkowski-Lyapunov Functions: Alternative Characterization and Implicit Representation},
  author = {Saša V. Raković},
  journal= {arXiv preprint arXiv:2108.05770},
  year   = {2021}
}

Comments

7 pages, 1 figure, 1 table, Accepted Automatica Technical Communique, Third version, Minor rewording and update of the acknowledgements (to reflect the acceptance of the paper)

R2 v1 2026-06-24T05:04:04.862Z