Henri Bourlès

activity

20122019

collaborators

3 papers

math.OC2019

A Generalization of the Passivity Theorem and the Small Gain Theorem Based on $ρ$ -Stability, with Application to a Parameter Adaptation Algorithm for Recursive Identification

Henri Bourlès

The usual passivity theorem considers a closed-loop, the direct chain of which consists of a strictly passive stable operator $H_{1}$ , and the feedback chain of which consists of a…

math.FA2014

On the Closed Graph Theorem and the Open Mapping Theorem

Henri Bourlès

Let $E, F$ be two topological spaces and $u : E \to F$ be a map. \ If $F$ is Haudorff and $u$ is continuous, then its graph is closed. \ \ The Closed Graph Theorem establishes…

math.RA2012

On Stably Free Ideal Domains

Henri Bourlès

We define a stably free ideal domain to be a Noetherian domain whose left and right ideals ideals are all stably free. We define also a semi-stably free ideal domain to be an Ore d…

A Generalization of the Passivity Theorem and the Small Gain Theorem Based on ρ-Stability, with Application to a Parameter Adaptation Algorithm for Recursive Identification

On the Closed Graph Theorem and the Open Mapping Theorem

On Stably Free Ideal Domains

A Generalization of the Passivity Theorem and the Small Gain Theorem Based on $ρ$ -Stability, with Application to a Parameter Adaptation Algorithm for Recursive Identification