Approximate controllability of a bilinear vibrating plate equation with bounded distributed control

2019 ◽  
Author(s):  
El Hassan Zerrik ◽  
Abella El Kabouss
Keyword(s):  
Distributed Control ◽  
Approximate Controllability ◽  
Plate Equation ◽  
Vibrating Plate Equation ◽  
Vibrating Plate

scholarly journals Controllability of the Semilinear Heat Equation with Impulses and Delay on the State

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Hugo Leiva
Keyword(s):  
Continuous Function ◽  
Characteristic Function ◽  
Heat Equation ◽  
Bounded Domain ◽  
Distributed Control ◽  
Approximate Controllability ◽  
Nonempty Subset ◽  
Nonlinear Functions ◽  
Semilinear Heat Equation ◽  
Approximately Controllable

AbstractIn this paper we prove the interior approximate controllability of the following Semilinear Heat Equation with Impulses and Delaywhere Ω is a bounded domain in RN(N ≥ 1), φ : [−r, 0] × Ω → ℝ is a continuous function, ! is an open nonempty subset of Ω, 1ω denotes the characteristic function of the set ! and the distributed control u be- longs to L2([0, τ]; L2(Ω; )). Here r ≥ 0 is the delay and the nonlinear functions f , Ik : [0, τ] × ℝ × ℝ → ℝ are smooth enough, such thatUnder this condition we prove the following statement: For all open nonempty subset ! of Ω the system is approximately controllable on [0, τ], for all τ > 0.

Distributed Control for Linear Systems

1983 ◽  
Author(s):  
E. Tse ◽  
C.Y. Chong ◽  
S. Mori
Keyword(s):  
Linear Systems ◽  
Distributed Control
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