Gradient realization of nonlinear control systems
| العنوان: | Gradient realization of nonlinear control systems |
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| المؤلفون: | Cortés, J., van der Schaft, A.J., Crouch, P.E., Astolfi, Alessandro, Gordillo, Francisco, van der Schaft, Arjan |
| المصدر: | Lagrangian and Hamiltonian methods for nonlinear control: 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 73-78 STARTPAGE=73;ENDPAGE=78;TITLE=Lagrangian and Hamiltonian methods for nonlinear control |
| سنة النشر: | 2003 |
| مصطلحات موضوعية: | prolongation and gradient extension, Nonlinear system, Control theory, Symmetric product, Control system, Compatibility (mechanics), Nonlinear control, Gradient control systems, Mathematics |
| الوصف: | We investigate necessary and su?cient conditions under which a nonlinear afine control system with outputs can be written as a gradient control system corresponding to some pseudo-Riemannian metric defined on the state space. The results rely on a suitable notion of compatibility of the system with respect to a given afine connection, and on the input-output behavior of the prolonged system and the gradient extension. The symmetric product associated with an afine connection plays a key role in the discussion |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1474-6670 |
| DOI: | 10.1016/s1474-6670(17)38868-7 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::273524583c6bf663c603bbcbc515682e https://doi.org/10.1016/s1474-6670(17)38868-7 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....273524583c6bf663c603bbcbc515682e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14746670 |
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| DOI: | 10.1016/s1474-6670(17)38868-7 |