Difference methods with selection strategies for differential inclusions
- 1 January 1993
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 14 (5-6) , 555-572
- https://doi.org/10.1080/01630569308816539
Abstract
The objective of this paper is to investigate convergence properties of multistep methods applied to differential inclusions. These multistep methods are combined with selection strategies, especially strategies based on optimization, forcing convergence to solutions with additional differentiability properties. For selection with respect to a reference trajectory an error estimate is proved.Keywords
This publication has 13 references indexed in Scilit:
- Difference Methods for Differential Inclusions: A SurveySIAM Review, 1992
- Second-Order Discrete Approximation to Linear Differential InclusionsSIAM Journal on Numerical Analysis, 1992
- Approximation of slow solutions to differential inclusionsApplied Mathematics & Optimization, 1990
- Error estimates for discretized differential inclusionsComputing, 1989
- Second order discrete approximations to strongly convex differential inclusionsSystems & Control Letters, 1989
- On the discrete convergence of multistep methods for differential inclusionsNumerical Functional Analysis and Optimization, 1987
- Differential InclusionsPublished by Springer Nature ,1984
- Converging multistep methods for initial value problems involving multivalued mapsComputing, 1981
- Differenzverfahren f r Schwingungen mit trockener und z her Reibung und f r RegelungssystemeNumerische Mathematik, 1976
- Classical Solutions of Differential Equations with Multi-Valued Right-Hand SideSIAM Journal on Control, 1967