scholarly journals Observer-based bilinear control of first-order hyperbolic PDEs: Application to the solar collector

2015 ◽  
Author(s):  
Sarah Mechhoud ◽  
Taous-Meriem Laleg-Kirati
Keyword(s):  
Solar Collector ◽  
Hyperbolic Pdes ◽  
Bilinear Control ◽  
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 Optimal bilinear control problem related to a chemo-repulsion system in 2D domains

2020 ◽  
Vol 26 ◽  
pp. 29 ◽  
Author(s):  
Francisco Guillén-González ◽  
Exequiel Mallea-Zepeda ◽  
María Ángeles Rodríguez-Bellido
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Optimal Solution ◽  
Strong Solutions ◽  
Global Optimal Solution ◽  
Production Term ◽  
Bilinear Control ◽  
First Order ◽  
Global Optimal ◽  
Bilinear Control Problem

In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this model are deduced, proving the existence of a global optimal solution. Afterwards, we derive first-order optimality conditions by using a Lagrange multipliers theorem.

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