Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays

2008 ◽  
Vol 57 (9) ◽  
pp. 750-758 ◽  
Author(s):  
Miroslav Krstic ◽  
Andrey Smyshlyaev
Keyword(s):  
Boundary Control ◽  
Hyperbolic Pdes ◽  
First Order

Backstepping Boundary Control for First-Order Hyperbolic PDEs on Inverted Pendulum Stabilization with Constant Input Delay

2021 ◽  
Author(s):  
Arnab Pal ◽  
Ramashis Banerjee ◽  
Debottam Mukherjee ◽  
Samrat Chakraborty ◽  
Pabitra Kumar Guchhait ◽  
...  
Keyword(s):  
Boundary Control ◽  
Inverted Pendulum ◽  
Input Delay ◽  
Constant Input ◽  
Hyperbolic Pdes ◽  
First Order

scholarly journals A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions

2015 ◽  
Vol 4 (4) ◽  
pp. 311-325 ◽  
Author(s):  
Pierluigi Colli ◽  
Gianni Gilardi ◽  
Jürgen Sprekels
Keyword(s):  
Boundary Conditions ◽  
Control Problem ◽  
Boundary Control ◽  
Necessary Conditions ◽  
Dynamic Boundary Conditions ◽  
First Order ◽  
Boundary Control Problem ◽  
Dynamic Boundary ◽  
Necessary Conditions For Optimality ◽  
Cahn Hilliard Equation

AbstractA boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.

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