A Lohner-type algorithm for control systems andordinary differential inclusions

Tomasz Kapela; Piotr Zgliczyński

doi:10.3934/dcdsb.2009.11.365

Article Contents

2009, Volume 11, Issue 2: 365-385. Doi: 10.3934/dcdsb.2009.11.365

This issue Previous Article $L^p$-stability estimates for the spatially inhomogeneous discrete velocity Boltzmann model Next Article A finite element method for vibration analysis of elastic plate-plate structures

A Lohner-type algorithm for control systems and ordinary differential inclusions

Tomasz Kapela^1, and
Piotr Zgliczyński^1,

1.
Jagiellonian University, Institute of Computer Science, Łojasiewicza 6, 30-387 Kraków

Received: December 2007

Revised: May 2008

Published: September 2009

Abstract Related Papers Cited by

Abstract

We describe a Lohner-type algorithm for the computation of rigorous upper bounds for reachable set for control systems, solutions of ordinary differential inclusions and perturbations of ODEs.

Keywords:

Mathematics Subject Classification: Primary: 34-04, 34F05, 65L70.

Citation:

Article Metrics

HTML views() PDF downloads(66) Cited by(0)

A Lohner-type algorithm for control systems and ordinary differential inclusions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A Lohner-type algorithm for control systems and ordinary differential inclusions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content