Time optimal boundary controllability of a viscoelastic beam

2006 ◽  
pp. 535-541
Author(s):  
G. Leugering
Keyword(s):  
Viscoelastic Beam ◽  
Boundary Controllability ◽  
Optimal Boundary ◽  
Time Optimal

scholarly journals Time optimal boundary controls for the heat equation

2012 ◽  
Vol 263 (1) ◽  
pp. 25-49 ◽  
Author(s):  
Sorin Micu ◽  
Ionel Roventa ◽  
Marius Tucsnak
Keyword(s):  
Heat Equation ◽  
Optimal Boundary ◽  
Time Optimal ◽  
Boundary Controls

Boundary controllability of a viscoelastic beam

1986 ◽  
Vol 23 (1-2) ◽  
pp. 119-137 ◽  
Author(s):  
Gunter Leugering
Keyword(s):  
Viscoelastic Beam ◽  
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 Time-Optimal Boundary Control of an Infinite Order Parabolic System with Time Lags

2008 ◽  
Vol 18 (2) ◽  
pp. 189-198 ◽  
Author(s):  
Adam Kowalewski ◽  
Anna Krakowiak
Keyword(s):  
Boundary Control ◽  
Parabolic System ◽  
Infinite Order ◽  
Integral Form ◽  
State Equation ◽  
Time Lags ◽  
Optimal Boundary ◽  
Boundary Control Problem ◽  
Optimal Boundary Control ◽  
Time Optimal

Time-Optimal Boundary Control of an Infinite Order Parabolic System with Time LagsIn this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.

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