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math.OC2022
Admissibility of retarded diagonal systems with one-dimensional input space
Rafal Kapica, Jonathan R. Partington, Radoslaw Zawiski
We investigate infinite-time admissibility of a control operator in a Hilbert space state-delayed dynamical system setting of the form , wher…
math.DS2022
Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients
Rafał Kapica, Radosław Zawiski
We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation. Our analysis provides…