2 papers
math.NA2025
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.OC2024
How do the lengths of switching intervals influence the stability of a dynamical system?
Vladimir Yu. Protasov, Rinat Kamalov
If a linear switching system with frequent switches is stable, will it be stable under arbitrary switches? In general, the answer is negative. Nevertheless, this question can be an…