output
20092026
most citedWeak Form of Stokes-Dirac Structures and Geometric Discretization of Port-Hamiltonian Systems

72 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.DS2017★ 72 cited

Weak Form of Stokes-Dirac Structures and Geometric Discretization of Port-Hamiltonian Systems

Paul Kotyczka, Bernhard Maschke, Laurent Lefèvre

We present the mixed Galerkin discretization of distributed parameter port-Hamiltonian systems. On the prototypical example of hyperbolic systems of two conservation laws in arbitr…

math.DS2016★ 1 cited

Some results on exponential synchronization of nonlinear systems (long version)

Vincent Andrieu, Bayu Jayawardhana, Sophie Tarbouriech

Based on recent works on transverse exponential stability, we establish some necessary and sufficient conditions for the existence of a (locally) exponential synchronizing control…

math.DS2016★ 1 cited

Transverse exponential stability and applications

Vincent Andrieu, Bayu Jayawardhana, Laurent Praly

We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution…

math.DS2015

Lyapunov functions obtained from first order approximations

V Andrieu

In this paper, we study the construction of Lyapunov functions based on first order approximations. In a first part, the study of local exponential stability property of a transver…

math.DS2015★ 7 cited

A Region-Dependent Gain Condition for Asymptotic Stability

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

A sufficient condition for the stability of a system resulting from the interconnection of dynamical systems is given by the small gain theorem. Roughly speaking, to apply this the…

math.DS2011

About the trajectory synthesis to go back to nominal mode for a class of hybrid systems

Philippe Manon, Claire Valentin

This paper presents basis parts of a new method to synthesize a return trajectory for a reactive process from a default mode to one of the nominal modes. The process is modeled wit…