Building systems from simple hyperbolic ones
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Building systems from simple hyperbolic ones |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Zwart H., Le Gorrec Y., Maschke B. |
| Journal | SYSTEMS & CONTROL LETTERS |
| Volume | 91 |
| Pagination | 1-6 |
| Date Published | MAY |
| Type of Article | Article |
| ISSN | 0167-6911 |
| Mots-clés | Impedance passive, Infinite-dimensional systems theory, Partial differential equation |
| Résumé | In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.'s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation. (C) 2016 Elsevier B.V. All rights reserved. |
| DOI | 10.1016/j.sysconle.2016.02.002 |