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- Title
Simultaneous null controllability with constraints. Application to simultaneous sentinels with given sensitivity.
- Authors
Kere, Moumini; Nakoulima, Ousseynou
- Abstract
The notion of sentinel was introduced by J. L. Lions Lions in order to identify parameters in problem of pollution ruled by a semilinear evolution equation. He proved that the existence of such sentinels is reduced to the solution of null controllability problem. We present here some case of simultaneous sentinels for a system of two semilinear parabolic equations. We show that such sentinels exist if only if, simultaneous null controllability with constraints on the control problems for a system governed by two heat equations holds. The key of our results is an observability inequality of Carleman type.
- Subjects
CONTROL theory (Engineering); SENSITIVITY analysis; NUMERICAL solutions to evolution equations; PARABOLIC differential equations; NUMERICAL solutions to partial differential equations; NONLINEAR theories; MATHEMATICAL inequalities; CARLEMAN theorem; EXISTENCE theorems
- Publication
Nonlinear Studies, 2012, Vol 19, Issue 2, p271
- ISSN
1359-8678
- Publication type
Article