scholarly journals Finite-time stabilization for a first-order hyperbolic system with integral kernel by boundary control

2021 ◽  
Vol 1978 (1) ◽  
pp. 012030
Author(s):  
Caijin Zeng ◽  
Zhongcheng Zhou
Keyword(s):  
Boundary Control ◽  
Hyperbolic System ◽  
Finite Time ◽  
Integral Kernel ◽  
First Order ◽  
Finite Time Stabilization

scholarly journals Finite-time stabilization for fractional-order inertial neural networks with time varying delays

2022 ◽  
Vol 27 (1) ◽  
pp. 1-18
Author(s):  
Chaouki Aouiti ◽  
Jinde Cao ◽  
Hediene Jallouli ◽  
Chuangxia Huang
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Analytical Techniques ◽  
Control Algorithms ◽  
First Order ◽  
Inertial Neural Networks ◽  
Fractional Differential ◽  
Variable Substitution ◽  
Finite Time Stabilization ◽  
Delay Dependent

This paper deals with the finite-time stabilization of fractional-order inertial neural network with varying time-delays (FOINNs). Firstly, by correctly selected variable substitution, the system is transformed into a first-order fractional differential equation. Secondly, by building Lyapunov functionalities and using analytical techniques, as well as new control algorithms (which include the delay-dependent and delay-free controller), novel and effective criteria are established to attain the finite-time stabilization of the addressed system. Finally, two examples are used to illustrate the effectiveness and feasibility of the obtained results.

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 Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 728
Author(s):  
Yasunori Maekawa ◽  
Yoshihiro Ueda
Keyword(s):  
Hyperbolic System ◽  
Dissipative Structure ◽  
Dissipative Structures ◽  
Algebraic Characterization ◽  
Symmetric Hyperbolic System ◽  
Full Generality ◽  
Order Linear ◽  
First Order

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.

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
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