Homogeneity of differential inclusions

Abstract : In this chapter the notion of geometric homogeneity is extended for differential inclusions. This kind of homogeneity provides the most advanced coordinate-free framework for analysis and synthesis of nonlinear discontinuous systems. The main qualitative properties of continuous homogeneous systems are extended to the discontin-uous setting: the equivalence of the global asymptotic stability and the existence of a homogeneous Lyapunov function; the link between finite-time stability and negative degree of homogeneity; the equivalence between attractivity and asymptotic stability are among the proved results.
Document type :
Book sections
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/hal-01405148
Contributor : Andrey Polyakov <>
Submitted on : Tuesday, November 29, 2016 - 5:22:56 PM
Last modification on : Friday, March 22, 2019 - 1:34:17 AM
Long-term archiving on : Monday, March 27, 2017 - 9:09:01 AM

File

Homogeneity of differential in...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01405148, version 1

Citation

Emmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti, Andrey Polyakov. Homogeneity of differential inclusions. Recent Trends in Sliding Mode Control, 2016. ⟨hal-01405148⟩

Share

Metrics

Record views

651

Files downloads

222