scholarly journals Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach

2017 ◽  
Vol 225 (3) ◽  
pp. 993-1023 ◽  
Author(s):  
Jean-Michel Coron ◽  
Hoai-Minh Nguyen
Keyword(s):  
Finite Time ◽  
Variable Coefficients ◽  
Null Controllability ◽  
One Dimension ◽  
Heat Equations ◽  
Backstepping Approach ◽  
Finite Time Stabilization

scholarly journals Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2×2 linear hyperbolic systems

2021 ◽  
Author(s):  
Long Hu ◽  
Guillaume Olive
Keyword(s):  
Finite Time ◽  
Hyperbolic Systems ◽  
Null Controllability ◽  
Convolution Theorem ◽  
Backstepping Method ◽  
Technical Point ◽  
One Dimensional ◽  
First Order ◽  
Minimal Time ◽  
Finite Time Stabilization

The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2×2 linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.

scholarly journals Prescribed finite time stabilization of linear systems with state constraints

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Tingting Yang ◽  
Yichao Ma ◽  
Pengfei Zhang ◽  
Jingyun Xu
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
State Constraints ◽  
Finite Time Stabilization

scholarly journals Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems

Mathematics ◽  
2016 ◽  
Vol 4 (4) ◽  
pp. 58 ◽  
Author(s):  
Nawel Khelil ◽  
Martin Otis
Keyword(s):  
Finite Time ◽  
Finite Time Stabilization ◽  
Lipschitz Systems
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