Minkowski-Lyapunov Functions: Alternative Characterization and Implicit Representation
arXiv:2108.05770 · doi:10.1016/j.automatica.2021.110081
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.
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)