23 citations · 72 across the 27 of their papers we have counts for
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math.FA2022
Generalized Markov-Bernstein inequalities and stability of dynamical systems
Vladimir Yu. Protasov
The Markov-Bernstein type inequalities between the norms of functions and of their derivatives are analysed for complex exponential polynomials. We establish a relation between the…
math.OC2022
The length of switching intervals of a stable linear system
Rinat Kamalov, Vladimir Yu. Protasov
The linear switching system is a system of ODE with the time-dependent matrix taking values from a given control matrix set. The system is (asymptotically) stable if all its trajec…
math.OC2022★ 2 cited
Stability of linear systems with bounded switching intervals
Vladimir Yu. Protasov, Rinat Kamalov
We address the stability problem for linear switching systems with mode-dependent restrictions on the switching intervals. Their lengths can be bounded as from below (the guarantee…