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Operator semigroup techniques in the control of delay systems

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.

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MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2015

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Coordinator

UNIVERSITY OF LEEDS
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 195 454,80
Address
WOODHOUSE LANE
LS2 9JT Leeds
United Kingdom

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Region
Yorkshire and the Humber West Yorkshire Leeds
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 195 454,80
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