Boundary control of the Maxwell dynamical system : lack of controllability by topological reasons
Mikhail Belishev, Aleksandr Glasman (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Mikhail Belishev, Aleksandr Glasman (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
John E. Lagnese (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a current flowing tangentially in the boundary of the region, as well as the exact controllability the same problem but perturbed by a dissipative term multiplied by a small parameter in the boundary condition. This boundary perturbation improves the regularity of the problem and is therefore a singular perturbation of the original problem. The purpose of the paper is to examine the...
Sergei Ivanov (1999)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Khapalov, A.Y. (1996)
Abstract and Applied Analysis
Similarity:
Jean-Michel Coron (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We consider a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to the control which consists of horizontal moves. We assume that the motion of the fluid is well-described by the Saint–Venant equations (also called the shallow water equations). We prove the local controllability of this nonlinear control system around any steady state. As a corollary we get that one can move from any steady state to any other steady state.
Benabdallah, Assia, Naso, Maria Grazia (2002)
Abstract and Applied Analysis
Similarity:
Alexander Y. Khapalov (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability...
J.-M. Coron (1992-1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity: