Evolution Equations and Control Theory (EECT)


Pages: i - i, Volume 1, Issue 1, June 2012      doi:10.3934/eect.2012.1.1i

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Alain Haraux - Université P.-M. Curie, Laboratoire J.-L. Lions, UMR 7598 CNRS, 4 Place Jussieu, BC 187, 75252 Paris 5ème, France (email)
Irena Lasiecka - Department of Mathematics, University of Virginia, Charlottesville, VA 22903, United States (email)

Abstract: The present Inaugural Volume is the first Issue of a new journal Evolution Equations and Control Theory [EECT], which is published within the AIMS Series. EECT is devoted to topics lying at the interface between Evolution Equations and Control Theory of Dynamics. Evolution equations are to be understood in a broad sense as Infinite Dimensional Dynamics which often arise in modeling physical systems as an infinite-dimensional process. This includes single PDE (Partial Differential Equations) or FDE (Functional Differential Equations) as well as coupled dynamics of different characteristics with an interface between them. Since modern control theory intrinsically depends on a good understanding of the qualitative theory of dynamics and evolution theory, the choice of these two topics appears synergistic and most natural. Past experience shows that new developments in control theory often depend on sufficient information related to the associated dynamical properties of the system. On the other hand, developments in evolution theory allow one to consider certain control theoretic formulations that alone would not appear treatable.

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Available Online: March 2012.