5 papers
Predictor-Based Stabilization of a Delayed Hetero-Dimensional Shoreline--Bathymetry System
Amadou Cissé, Mohamed Boutayeb
Exponential stabilization is investigated for a hetero-dimensional parabolic system in which a one-dimensional shoreline subsystem, subject to a constant input delay, is bidirectio…
Predictor-Based Exponential Tracking of Turbulent Solutions for the Kuramoto--Sivashinsky Equation with Input Delay
Amadou Cissé
Uniform exponential tracking is addressed for nonstationary trajectories of the nonlinear Kuramoto--Sivashinsky equation subject to a constant input delay. The reference belongs to…
Energy Decay Induced by Localized Coercivity in the 3D Navier--Stokes Equations
Amadou Cissé
Energy-based analysis of the three-dimensional incompressible Navier--Stokes equations with spatially localized dissipation is developed at the level of kinetic energy and Leray--H…
Structural Compatibility and Uniform Stability of Temporally Degenerate Parabolic Systems
Amadou Cissé
Modern feedback design for distributed parameter systems presupposes that the closed-loop dynamics define a well-posed evolution problem. This presupposition becomes nontrivial for…
Operator-Theoretic Stability and Observer Synthesis for Parameter-Dependent Vlasov--Maxwell Dynamics
Amadou Cissé, Mohamed Boutayeb
An operator--theoretic formulation is developed for the synthesis of parameter-dependent controllers and observers for the Vlasov--Maxwell system. The linearized dynamics are model…