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Christophe Prieur
Researcher at University of Grenoble
Publications - 381
Citations - 7005
Christophe Prieur is an academic researcher from University of Grenoble. The author has contributed to research in topics: Exponential stability & Lyapunov function. The author has an hindex of 40, co-authored 348 publications receiving 5908 citations. Previous affiliations of Christophe Prieur include Laboratory for Analysis and Architecture of Systems & University of Paris-Sud.
Papers
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Boundary feedback control in networks of open channels
TL;DR: This article deduces stabilizing control laws for a single horizontal reach without friction for a general class of hyperbolic systems which can describe canal networks with more general topologies by means of a Riemann invariants approach.
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Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
TL;DR: In this article, a hierarchy of LMI-relaxations whose optimal values form a non-decreasing sequence of lower bounds on the optimal value of the OCP is provided.
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Stability analysis and stabilization of systems presenting nested saturations
TL;DR: Based on the modelling of the system presenting nested saturations as a linear system with dead-zone nested nonlinearities and the use of a generalized sector condition, linear matrix inequality (LMI) stability conditions are formulated and convex optimization strategies are proposed to solve both problems.
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ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
TL;DR: A family of time-varying hyperbolic systems of balance laws is considered and a strictification approach is taken to obtain a time-Varying strict Lyapunov function, which allows to establish asymptotic stability in the general case and a robustness property with respect to additive disturbances of input-to-state stability (ISS) type.
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Strict Lyapunov functions for semilinear parabolic partial differential equations
TL;DR: For families of partial differential equations (PDEs) with particular boundary conditions, strict Lyapunov functions are constructed in this article, which are used to prove asymptotic stability in the framework of an appropriate topology.