Report
Multivalued Hamiltonian Systems with Multivalued Dissipation: Analysis of the Backward-Euler Discretisation
| العنوان: | Multivalued Hamiltonian Systems with Multivalued Dissipation: Analysis of the Backward-Euler Discretisation |
|---|---|
| المؤلفون: | Castaños, Fernando, Miranda-Villatoro, Felix, A, Brogliato, Bernard |
| المساهمون: | Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV), Modélisation, simulation et commande des systèmes dynamiques non lisses (TRIPOP), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP), Université Grenoble Alpes (UGA), Financement professeurs visiteurs INRIA Grenoble et LJK. |
| المصدر: | https://inria.hal.science/hal-04625231 ; 2024. |
| بيانات النشر: | CCSD |
| سنة النشر: | 2024 |
| المجموعة: | Université Grenoble Alpes: HAL |
| مصطلحات موضوعية: | Hamiltonian systems, differential inclusions, backward Euler time-discretisation, Lyapunov stability, twisting algorithm, super-twisting algorithm, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering |
| الوصف: | This article is mainly concerned with the time-discretisation of multivalued Hamiltonian systems with multivalued dissipation, a special class of differential inclusions. Two classes of set-valued Hamiltonian systems are considered, depending on the dissipation function being position or momentum dependent. The backward-Euler discretisation is analyzed in both cases: well-posedness of the generalized equation obtained after discretisation is proved, then stability of fixed-points is tackled. The well-known sliding-mode twisting and super-twisting algorithms, as well as an example from Contact Mechanics, illustrate the theoretical developments. |
| نوع الوثيقة: | report |
| اللغة: | English |
| الاتاحة: | https://inria.hal.science/hal-04625231 https://inria.hal.science/hal-04625231v1/document https://inria.hal.science/hal-04625231v1/file/Hamiltonian.pdf |
| Rights: | http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.A29D5A32 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |