Asymptotic behaviour to a heat equation with a delayed control in the source term

• Autorzy: Berrone L. , Mannucci P.
• Języki publikacji: EN

Abstrakty

EN

A one dimensional heat equation in a semi-infinite medium controlled through a heat source depending on the delayed heat flux at the extremum is studied. By reducing the problem to a delayed Volterra integral equation with a weakly singular kernel, we find conditions on the initial datum and on the source term of the equation to control the asymptotic behaviour of the mean temperatures.

Słowa kluczowe

EN

heat equation; delayed control; Volterra integral equation with delay

PL

niejednorodne równanie dyfuzji; ewolucja rozkładu temperatury; sterowanie z opóźnieniem; równanie całkowe Volterry z opóźnieniem

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 1
• Strony: 5--32
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Berrone L.

• Departamento de Mateḿatica Facultad de Ciencias Exactas, Ing. y Agrim. Universidad Nacional de Rosario Av. Pellegrini 250, 2000 Rosario, Argentina

autor

Mannucci P.

• Dipartimento di Matematica Pura e Applicata Universita degli Studi di Padova Via Belzoni, 7, 35131, Padova, Italy

Bibliografia

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