On state feedback control of a class of nonlinear PDE systems in finite dimension
DOI10.1016/j.cnsns.2023.107751MaRDI QIDQ6143031
Amadou Cissé, Mohamed Boutayeb
Publication date: 23 January 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Feedback control (93B52) Asymptotic behavior of solutions to PDEs (35B40) Observability (93B07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Trigonometric solutions to PDEs (35C09)
Cites Work
- Unnamed Item
- Unnamed Item
- Controllability and asymptotic stabilization of the Camassa-Holm equation
- On the controllability of the Vlasov-Poisson system.
- Optimal control of a Vlasov-Poisson plasma by an external magnetic field
- Observers for a class of Lipschitz systems with extension to \(H_{\infty }\) performance analysis
- Exact Controllability for the Time Dependent Transport Equation
- DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM
- On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain
- Optimal -Control for the Global Cauchy Problem of The Relativistic Vlasov-Poisson System
- Asymptotic Stabilizability by Stationary Feedback of the Two-Dimensional Euler Equation: The Multiconnected Case