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Integral Equations and Operator Theory

, Volume 64, Issue 3, pp 429–453 | Cite as

Riesz Systems and Controllability of Heat Equations with Memory

Article

Abstract.

The main result we derive is the proof that a particular set of functions related to the controllability of the heat equation with memory and finite signal speed, with suitable kernel, is a Riesz system. Riesz systems are important tools in applied mathematics, for example for the solution of inverse problems. In this paper we shows that the Riesz system we identify can be used to give a constructive method for the computation of the control steering a given initial condition to a prescribed target.

Mathematics Subject Classification (2000).

Primary 44A60 Secondary 93B05 

Keywords.

Heat equation with memory controllability moment problem 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly

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