scholarly journals Null boundary controllability of a 1-dimensional heat equation with an internal point mass

2016 ◽  
Author(s):  
Scott W Hansen ◽  
Jose de Jesus Martinez
Keyword(s):  
Heat Equation ◽  
Point Mass ◽  
Internal Point ◽  
Boundary Controllability

scholarly journals Approximate boundary controllability of the heat equation, II

1969 ◽  
Vol 28 (3) ◽  
pp. 482-492 ◽  
Author(s):  
R.C. MacCamy ◽  
V.J. Mizel ◽  
T.I. Seidman
Keyword(s):  
Heat Equation ◽  
Boundary Controllability

A time-optimal boundary controllability problem for the heat equation in a ball

2014 ◽  
Vol 144 (6) ◽  
pp. 1171-1189 ◽  
Author(s):  
Sorin Micu ◽  
Laurenţiu Emanuel Temereancă
Keyword(s):  
Optimal Control ◽  
Heat Equation ◽  
Parabolic Type ◽  
Time Optimal Control ◽  
Main Ingredient ◽  
Controllability Problem ◽  
Boundary Controllability ◽  
Müntz Polynomials ◽  
Time Optimal ◽  
Dimensional Ball

The aim of this paper is to study a boundary time-optimal control problem for the heat equation in a two-dimensional ball. The main ingredient is the extension of a result concerning Müntz polynomials due to Borwein and Erdélyi that allows us to prove an observability inequality for the dynamical system's truncation to a finite number of modes. This result, combined with a well-known Lebeau–Robbiano argument used to show the null-controllability of parabolic type equations, enables us to deduce the existence, uniqueness and bang-bang properties for the boundary time-optimal control.

scholarly journals Approximate boundary controllability for the heat equation

1968 ◽  
Vol 23 (3) ◽  
pp. 699-703 ◽  
Author(s):  
R.C MacCamy ◽  
V.J Mizel ◽  
T.I Seidman
Keyword(s):  
Heat Equation ◽  
Boundary Controllability
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