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

72 citations

researchers with a paper here

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

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Showing 2015Show all

8 papers · 1 filter

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.AP2015

Stabilization of a linear Korteweg-de Vries equation with a saturated internal control

Swann Marx, Eduardo Cerpa, Christophe Prieur +1

This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a linear Korteweg-de Vries equation, which is a mathemat…

math.OC2015

Union d'une commande par backstepping avec une commande locale

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

Systems for which the backstepping technique cannot be applied are considered. A criterion for the design of a hybrid feedback law is proposed by blending a local stabilizer with a…

math.OC2015★ 2 cited

Combining a backstepping controller with a local stabilizer

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied…

math.OC2015★ 1 cited

Interconnecting a System Having a Single Input-to-State Gain With a System Having a Region-Dependent Input-to-State Gain

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

For an ISS system, by analyzing local and non-local properties, it is obtained different input-to-state gains. The interconnection of a system having two input-to-state gains with…

math.OC2015★ 3 cited

Relaxed and hybridized backstepping

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive…

math.OC2015★ 5 cited

Locally optimal controllers and globally inverse optimal controllers

Sofiane Benachour, Humberto Stein Shiromoto, Vincent Andrieu

In this paper we consider the problem of global asymptotic stabilization with prescribed local behavior. We show that this problem can be formulated in terms of control Lyapunov fu…

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…