at Google ScholarTitle data
Baier, Robert ; Chahma, Ilyes Aïssa ; Lempio, Frank:
Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions.
In: SIAM Journal on Optimization.
Vol. 18
(2007)
Issue 3
.
- pp. 1004-1026.
ISSN 1095-7189
DOI: https://doi.org/10.1137/060661867
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Abstract in another language
A discrete stability theorem for set-valued Euler's method with state constraints is proved. This theorem is combined with known stability results for differential inclusions withso-called smooth state constraints. As a consequence, order of convergence equal to 1 is proved for set-valued Euler's method, applied to state-constrained differential inclusions.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Additional notes: | Special Issue on Variational Analysis and Optimization
Contents: 1. Introduction and preliminaries 2. Stability for the unconstrained case 3. Stability analysis for the state-constrained case 4. Convergence analysis 5. Example |
| Keywords: | Filippov theorem; Set-valued Euler's method; Differential inclusions with state constraints; Stability and convergence of discrete approximations |
| Subject classification: | Mathematics Subject Classification Code: 49J24 (65L20 34K28 34A60) |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
| Date Deposited: | 03 Mar 2021 10:57 |
| Last Modified: | 19 May 2021 06:03 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63623 |