Exact null controllability of infinite dimensional linear systems via bounded control functions

2004 ◽  
Author(s):  
Pengnian Chen ◽  
Huashu Qin ◽  
Kangsheng Liu
Keyword(s):  
Linear Systems ◽  
Null Controllability ◽  
Bounded Control ◽  
Infinite Dimensional ◽  
Control Functions ◽  
Exact Null Controllability

scholarly journals Null controllability of a nonlinear heat equation

2002 ◽  
Vol 7 (7) ◽  
pp. 375-383 ◽  
Author(s):  
G. Aniculăesei ◽  
S. Aniţa
Keyword(s):  
Heat Equation ◽  
Dirichlet Boundary ◽  
Null Controllability ◽  
Carleman Estimates ◽  
Nonlinear Heat Equation ◽  
Homogeneous Dirichlet Boundary Condition ◽  
Linearized System ◽  
Kakutani Fixed Point ◽  
Exact Null Controllability ◽  
Kakutani Fixed Point Theorem

We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system. The result extends to the case of boundary control.

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