Exact Controllability and Spectrum Assignment

1981 ◽  
pp. 81-94 ◽  
Author(s):  
Gheorghe Eckstein
Keyword(s):  
Exact Controllability ◽  
Spectrum Assignment

Scattering waves using exact controllability methods

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

Immune-clonal-selection based Spectrum Assignment for Cognitive Radio Networks

2011 ◽  
Vol 33 (7) ◽  
pp. 1561-1567 ◽  
Author(s):  
Xiao-fei Wang ◽  
Yue-bing Chen ◽  
Xi Zhang ◽  
Quan Zhang ◽  
Chao-jing Tang
Keyword(s):  
Cognitive Radio ◽  
Cognitive Radio Networks ◽  
Clonal Selection ◽  
Radio Networks ◽  
Spectrum Assignment

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.

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