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math.MG2024
Autopolar conic bodies and polyhedra
Maxim Makarov, Vladimir Yu. Protasov
An antinorm is a concave analogue of a norm. In contrast to norms, antinorms are not defined on the entire space but on a cone . They are applied in the matrix…
math.NA2024
Chebyshev approximation by non-Chebyshev systems
Vladimir Yu. Protasov, Rinat Kamalov
We address the problem of the best uniform approximation by linear combinations of a finite system of functions. If the system is Chebyshev and the problem is unconstrained, then t…
math.DS2024
Stability under dwell time constraints: Discretization revisited
Thomas Mejstrik, Vladimir Yu. Protasov
We decide the stability and compute the Lyapunov exponent of continuous-time linear switching systems with a guaranteed dwell time. The main result asserts that the discretization…