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Oberwolfach Reports

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Volume 9, Issue 1, 2012, pp. 661–732
DOI: 10.4171/OWR/2012/12

Published online: 2012-11-14

Control Theory: Mathematical Perspectives on Complex Networked Systems

Frank Allgöwer[1], Vincent Blondel[2] and Uwe Helmke[3]

(1) Universität Stuttgart, Germany
(2) Université Catholique de Louvain, Louvain-La-Neuve, Belgium
(3) Universität Würzburg, Germany

Control theory is an interdisciplinary field that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Its range of applicability and its techniques evolve rapidly with new developments in communication systems and electronic data processing. Thus, in recent years networked control systems emerged as a new fundamental topic, which combines complex communication structures with classical control methods and requires new mathematical methods. A substantial number of contributions to this workshop was devoted to the control of networks of systems. This was complemented by a series of lectures on other current topics like fundamentals of nonlinear control systems, model reduction and identification, algorithmic aspects in control, as well as open problems in control.

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Allgöwer Frank, Blondel Vincent, Helmke Uwe: Control Theory: Mathematical Perspectives on Complex Networked Systems. Oberwolfach Rep. 9 (2012), 661-732. doi: 10.4171/OWR/2012/12