# School of Mathematics

## Dr Radoslaw Zawiski

Marie Curie Research Fellow

Pure Mathematics

### Contact details

Room: 9.30

Tel: +44 (0)113 3439628

Email: R.Zawiski @ leeds.ac.uk

### Keywords

Functional Analysis

Operator Theory

Systems and Control

Delay Systems

Semigroups of operators

Measures of noncompactness

Hybrid systems

Control-oriented mathematical modelling

## Research interests

My research recently focuses on functional analysis and operator theory. Currently, I am working on delayed semigroups of operators forming linear infinite dimensional dynamical systems. The notions of admissibility, controllability and observability are key points of interest.

I am also interested in the use of measures of noncompactness in the analysis of nonlinear systems, frequently by means of fixed point theory. This extends to analysis of hybrid systems, in particular switched systems.

Above themes are related to control-oriented mathematical modelling, especially in aeronautics, to which I also put my attention.

### Useful links

## Publications

**Zawiski R** Stabilizability of nonlinear infinite dimensional switched systems by measures of noncompactness in the space *Nonlinear Analysis: Hybrid Systems*, **25**, 79-89, 2017

DOI:10.1016/j.nahs.2017.03.004

View abstract

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