On a class of non-linear parabolic control systems with memory effects

Autor:	K. Sakthivel, Krishnan Balachandran, B. R. Nagaraj
Rok vydání:	2008
Předmět:	Null (mathematics) Mathematical analysis Fixed-point theorem Lipschitz continuity Domain (mathematical analysis) Computer Science Applications Controllability symbols.namesake Control and Systems Engineering Dirichlet boundary condition Bounded function symbols Boundary value problem Mathematics
Zdroj:	International Journal of Control. 81:764-777
ISSN:	1366-5820 0020-7179
DOI:	10.1080/00207170701447114
Popis:	This work establishes the local exact null controllability of non-linear parabolic integrodifferential equations with non-linearities under the integral sign in a bounded domain and with homogeneous Dirichlet boundary conditions. The control is assumed to be distributed along a subdomain ω of Ω. Using a Carleman type inequality we first prove the global exact null controllability of a linearized equation. Then, by a fixed point method, we obtain the main result for the non-linear case. This result asserts that, when the non-linearity is of class C 1 and globally Lipschitz, the system is null controllable.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::494d6e9a26793a5e5b43fee28cbfb029 https://doi.org/10.1080/00207170701447114 Zobrazit plný text záznamu