Remarks on the exact controllability for large times

1989 ◽  
pp. 1-13
Author(s):  
Jacques Louis Lions
Keyword(s):  
Exact Controllability

Scattering waves using exact controllability methods

1993 ◽  
Author(s):  
M. BRISTEAU ◽  
R. GLOWINSKI ◽  
J. PERIAUX
Keyword(s):  
Exact Controllability

scholarly journals A note on the exact boundary controllability for an imperfect transmission problem

2021 ◽  
Author(s):  
S. Monsurrò ◽  
A. K. Nandakumaran ◽  
C. Perugia
Keyword(s):  
Exact Controllability ◽  
Dirichlet Condition ◽  
Adjoint Problem ◽  
Imperfect Interface ◽  
External Boundary ◽  
Exact Boundary Controllability ◽  
Multipliers Method ◽  
Exact Boundary ◽  
Hilbert Uniqueness Method ◽  
Uniqueness Method

AbstractIn this note, we consider a hyperbolic system of equations in a domain made up of two components. We prescribe a homogeneous Dirichlet condition on the exterior boundary and a jump of the displacement proportional to the conormal derivatives on the interface. This last condition is the mathematical interpretation of an imperfect interface. We apply a control on the external boundary and, by means of the Hilbert Uniqueness Method, introduced by J. L. Lions, we study the related boundary exact controllability problem. The key point is to derive an observability inequality by using the so called Lagrange multipliers method, and then to construct the exact control through the solution of an adjoint problem. Eventually, we prove a lower bound for the control time which depends on the geometry of the domain, on the coefficients matrix and on the proportionality between the jump of the solution and the conormal derivatives on the interface.

Exact controllability of Naghdi shells

2010 ◽  
Vol 348 (5-6) ◽  
pp. 341-346
Author(s):  
Bernadette Miara ◽  
Gustavo Perla
Keyword(s):  
Exact Controllability
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