66 citations
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11 papers · 1 filter
Controllability of wave-heat and heat-wave cascades
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
We study boundary controllability of one-dimensional coupled hyperbolic-parabolic cascades, focusing on the fine structure of reachable sets. The main model is a wave-heat cascade…
Stabilization of a Wave-Heat Cascade System
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
We consider the output-feedback stabilization of a one-dimensional cascade coupling a reaction-diffusion equation and a wave equation through an internal term, with Neumann boundar…
Boundary output feedback stabilization of a cascade of N heat equations
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
This paper solves the problem of output feedback stabilization for a cascade of N heat equations that are coupled at the boundary, the input being a scalar boundary control applied…
Boundary control of heat-heat cascades
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
This paper addresses the problem of feedback stabilization of a cascade of two heat equations that are coupled in the boundary conditions, the input being a boundary control for th…
Controllability and Stabilization of a Wave-Heat Cascade System
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
Considering a wave-reaction-diffusion PDE cascade system with wave Neumann control, we first establish controllability properties in a suitable Hilbert space depending on the coupl…
Speeding up VSLMS adaptation algorithms using dynamic adaptation gain: Analysis and Applications
Ioan Doré Landau, Dariusz Bismor, Tudor-Bogdan Airimitoaie +2
The paper explores the use of dynamic adaptation gain/step size (DAG) for improving the adaptation transient performance of variable step-size LMS (VS-LMS) adaptation algorithms. A…