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OUTCROSS

Operator semigroup techniques in the control of delay systems

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EC-Contrib. €

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Partnership

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Project "OUTCROSS" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITY OF LEEDS 

Organization address
address: WOODHOUSE LANE
city: LEEDS
postcode: LS2 9JT
website: www.leeds.ac.uk

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website http://www1.maths.leeds.ac.uk/
 Total cost 195˙454 €
 EC max contribution 195˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2015
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2016
 Duration (year-month-day) from 2016-11-01   to  2018-10-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITY OF LEEDS UK (LEEDS) coordinator 195˙454.00

Map

 Project objective

The purpose of this project is to apply operator theory to evolution equations in order to investigate fundamental properties of infinite dimensional dynamical systems with delay in state variables. Radoslaw Zawiski will pursue this goal within the Analysis Group at the School of Mathematics of the University of Leeds, under the supervision of Professor Partington. This interdisciplinary project searches for the answer to the question of necessary and sufficient conditions for admissibility and controllability of an infinite dimensional dynamical system. It also scrutinises weighted forms of admissibility and controllability for a delay system with problems involving the Dirichlet-type norms. With the above, this project goes beyond the state-of-the-art utilising innovative operator semigroup techniques, in particular Carleson embeddings involving sectorial measures and Toeplitz/Hankel operators, to obtain results in an underdeveloped area of state delayed infinite dimensional systems. Concurrently, this project crosses current frontiers in control theory of such systems, setting new level and worldwide standard by giving a great insight into the nature of evolution equations. By fulfilling its purpose, this project helps the European scientific community to maintain its leading role in operator theory and control theory, adding to this topic a relevant set of techniques specifically designed for state delayed evolution equations. In this respect, the fellowship supports Radoslaw Zawiski’s career development by providing him the right environment to attain the proposed research goals. Dr Zawiski will reach the full maturity as a leading researcher, with the solid background and possibilities to significantly contribute to the development of operator theory and control theory.

 Publications

year authors and title journal last update
List of publications.
2018 Jonathan R. Partington, Sandra Pott, Radoslaw Zawiski
Laplace-Carleson embeddings on model spaces and boundedness of truncated Hankel and Toeplitz operators
published pages: , ISSN: , DOI:
arxiv.org e-prints archive, currently under review 2019-05-09
2018 Partington, Jonathan R.; Zawiski, Radoslaw
Admissibility of diagonal state-delayed systems with a one-dimensional input space
published pages: , ISSN: , DOI:
arxiv.org e-prints archive, currently under review 2019-05-09
2018 Zawiski, Radoslaw; Partington, Jonathan R.
On the admissibility of retarded delay systems
published pages: , ISSN: , DOI:
arxiv.org e-prints archive, currently under review 2019-05-09
2018 Radosław Zawiski
Exact controllability of non-Lipschitz semilinear systems
published pages: , ISSN: 1661-7746, DOI: 10.1007/s11784-018-0550-5
Journal of Fixed Point Theory and Applications 20/2 2019-05-09

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