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Local Exponential Stabilization of Semi-Linear Hyperbolic Systems by Means of a Boundary Feedback Control
- Source :
- IEEE Control Systems Letters, IEEE Control Systems Letters, IEEE, 2018, 2 (1), pp.55-60. ⟨10.1109/LCSYS.2017.2724141⟩
- Publication Year :
- 2018
- Publisher :
- HAL CCSD, 2018.
-
Abstract
- International audience; This paper investigates the boundary feedback control for a class of semi-linear hyperbolic partial differential equations with nonlinear relaxation, which is local Lipschitz continuous with a stable matrix structure. A sufficient condition in terms of linear inequalities is developed for the existence of global Cauchy solutions and the exponential stability by seeking a balance between the relaxation term and the boundary condition. These results are illustrated with an application to the boundary feedback control for a class of hyperbolic Lotka-Volterra models.
- Subjects :
- 0209 industrial biotechnology
Lyapunov function
Control and Optimization
Boundary feedback control
Hyperbolic function
Mathematical analysis
Relaxation (iterative method)
Boundary (topology)
020207 software engineering
02 engineering and technology
Mixed boundary condition
[SPI.AUTO]Engineering Sciences [physics]/Automatic
Nonlinear system
020901 industrial engineering & automation
Exponential stability
Control and Systems Engineering
0202 electrical engineering, electronic engineering, information engineering
Cauchy boundary condition
Boundary value problem
Semi-linear hyperbolic systems
Lotka- Volterra
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24751456
- Database :
- OpenAIRE
- Journal :
- IEEE Control Systems Letters, IEEE Control Systems Letters, IEEE, 2018, 2 (1), pp.55-60. ⟨10.1109/LCSYS.2017.2724141⟩
- Accession number :
- edsair.doi.dedup.....e50dc4458a4e14c71903124d6eecb7c2