Cel Systems and Control provide a paradigm that introduces many open problems of mathematical nature. The Determinantal Assignment Problem (DAP) belongs to the family of synthesis methods and has emerged as the abstract problem formulation to which the study of pole, zero assignment of linear systems may be reduced. This approach unifies the study of frequency assignment problems (pole, zero) of multivariable systems under constant, dynamic centralised, or decentralised control structure, has been developed. DAP is equivalent to finding solutions to an inherently non-linear problem and its determinantal character demonstrates the significance of exterior algebra and classical algebraic geometry for control problems. The overall goal of the current proposal is to develop those aspects of the DAP framework that can transform the methodology from a synthesis approach and solution of well defined problems to a design approach that can handle model uncertainty, capable to develop approximate solutions and further empower it with potential for studying stabilization problems. The research aims to provide solutions for non-generic frequency assignment problems and handle problems of model uncertainty. This is achieved by developing robust approximate solutions to the purely algebraic DAP framework and thus transforming existence results and general computational schemes to tools for control design. The research involves the computation of distances between Grassmann and families of Linear varieties, introducing a new robust methodology for Global Linearisation using homotopy theory and finally developing an integrated framework for approximate solutions of DAP and its extension to the case of stabilization problems. The research involves the study of challenging mathematical problems related to problems such as spectral analysis of tensors, homotopy methods, constrained optimization, theory of algebraic invariants and issues linked to the properties of the stability domain. Dziedzina nauki natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Zaproszenie do składania wniosków FP7-PEOPLE-2012-IEF Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IEF - Intra-European Fellowships (IEF) Koordynator CITY UNIVERSITY OF LONDON Wkład UE € 309 235,20 Adres NORTHAMPTON SQUARE EC1V 0HB London Zjednoczone Królestwo Zobacz na mapie Region London Inner London — East Haringey and Islington Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Dilly Tawakkul (Dr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych