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6 papers · 2 filters
PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
The general context of this work is the feedback control of an infinite-dimensional system so that the closed-loop system satisfies a fading-memory property and achieves the setpoi…
Sufficient conditions for forward invariance and contractivity in hybrid inclusions using barrier functions
Mohamed Maghenem, Ricardo G. Sanfelice
This paper studies set invariance and contractivity in hybrid systems modeled by hybrid inclusions using barrier functions. After introducing the notion of a multiple barrier funct…
Local stabilization of an unstable parabolic equation via saturated controls
Andrii Mironchenko, Christophe Prieur, Fabian Wirth
We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov…
Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms
Konstantin Usevich, Jianze Li, Pierre Comon
We propose a gradient-based Jacobi algorithm for a class of maximization problems on the unitary group, with a focus on approximate diagonalization of complex matrices and tensors…
Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems with Delay Boundary Control
Hugo Lhachemi, Christophe Prieur
This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is s…
An LMI Condition for the Robustness of Constant-Delay Linear Predictor Feedback with Respect to Uncertain Time-Varying Input Delays
Hugo Lhachemi, Christophe Prieur, Robert Shorten
This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the close…