scholarly journals A Linear Parabolic Boundary Control Problem with Mixed Control-State Constraint

1999 ◽  
pp. 13-20
Author(s):  
Maïtine Bergounioux ◽  
Fredi Tröltzsch
Keyword(s):  
Control Problem ◽  
Boundary Control ◽  
State Constraint ◽  
Parabolic Boundary ◽  
Mixed Control ◽  
Boundary Control Problem ◽  
Control State

scholarly journals BOUNDARY CONTROL PROBLEM FOR ONE DEGENERATE HIBERBOLIC EQUATION

2019 ◽  
pp. 19-27
Author(s):  
А.Х. Аттаев
Keyword(s):  
Control Problem ◽  
Boundary Control ◽  
Sufficient Conditions ◽  
Analytical Form ◽  
Cauchy Data ◽  
Boundary Control Problem ◽  
Order Hyperbolic Equation ◽  
Boundary Controls ◽  
Necessary And Sufficient ◽  
Second Order Hyperbolic Equation

В работе изучается задача граничного управления для вырождающегося гиперболического уравнения второго порядка. Установлены необходимые и достаточные условия управляемости данными Коши за минимальный промежуток времени. Граничные управления предъявлены в явном аналитическом виде. The paper studies the boundary control problem for a degenerate second-order hyperbolic equation. Necessary and sufficient conditions are established for minimal time controllability over Cauchy data. Boundary controls are presented in an explicit analytical form.

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