Radosław Zawiski

activity

20172022

collaborators

6 papers

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 $B$ in a Hilbert space state-delayed dynamical system setting of the form $z ˙ (t) = A z (t) + A_{1} z (t - τ) + B u (t)$ , 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…

math.FA2018

Laplace--Carleson embeddings on model spaces and boundedness of truncated Hankel and Toeplitz operators

Jonathan R. Partington, Sandra Pott, Radoslaw Zawiski

A characterisation is given of bounded embeddings from weighted $L^{2}$ spaces on bounded intervals into $L^{2}$ spaces on the half-plane, induced by isomorphisms given by the Laplace…

math.OC2018

Admissibility of diagonal state-delayed systems with a one-dimensional input space

Jonathan R. Partington, Radoslaw Zawiski

In this paper we investigate admissibility of the control operator $B$ in a Hilbert space state-delayed dynamical system setting of the form $z ˙ (t) = A z (t - τ) + B u (t)$ , where $A$ g…

math.FA2017

Exact controllability of non-Lipschitz semilinear systems

Radoslaw Zawiski

We present sufficient conditions for exact controllability of a semilinear infinite dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a…

math.OC2017

On the admissibility of retarded delay systems

Radoslaw Zawiski, Jonathan R. Partington

We investigate a Hilbert space dynamical system of the form $z ˙ (t) = A z (t) + A_{1} z (t - τ) + B u (t)$ , where $A$ generates a semigroup of contractions and $A_{1}$ is a bounded operator, in…