A stability theory for second-order nonsmooth dynamical systems with application to friction problems

By Samir Adly, Daniel Goeleven. 2004

67 citations recorded by the source corpus.

Abstract A LaSalle's Invariance Theory for a class of first-order evolution variational inequalities is developed. Using this approach, stability and asymptotic properties of important classes of second-order dynamic systems are studied. The theoretical results of the paper are supported by examples in nonsmooth Mechanics and some numerical simulations.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d20775034a5658856f16180ffcc025fe4ff9e57a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Bernard Brogliato
2. Daniel Goeleven

In Control and Systems Engineering

1. Bernard Brogliato
2. Daniel Goeleven

In Mechanics of Materials

1. Bernard Brogliato
2. Daniel Goeleven

Citations in the corpus

• Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems (2011, background): “D = 0n×n) has been the object of specific papers, see [8,9,18].”