Existence, uniqueness of solutions and stability of nonsmooth multivalued Lur'e dynamical systems - Archive ouverte HAL Access content directly
Journal Articles Journal of Convex Analysis Year : 2013

Existence, uniqueness of solutions and stability of nonsmooth multivalued Lur'e dynamical systems

(1) , (2)
1
2

Abstract

This paper deals with the well-posedness of a class of multivalued Lur'e systems, which consist of a nonlinear dynamical system in negative feedback interconnection with a static multivalued nonlinearity. The objective is to provide a detailed analysis of the conditions which guarantee that a certain operator, constructed from the static nonlinearity, is maximal monotone. This in turn assures the existence and the uniqueness of the solutions. Examples (nonlinear complementarity systems, nonlinear relay systems) illustrate the developments. A stability result is also given.
Fichier principal
Vignette du fichier
BBDG.pdf (177.12 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00825601 , version 1 (03-11-2017)

Identifiers

  • HAL Id : hal-00825601 , version 1

Cite

Bernard Brogliato, Daniel Goeleven. Existence, uniqueness of solutions and stability of nonsmooth multivalued Lur'e dynamical systems. Journal of Convex Analysis, 2013, 20 (3), pp.881-900. ⟨hal-00825601⟩
321 View
161 Download

Share

Gmail Facebook Twitter LinkedIn More