تقرير
Partial Causal Detectability of Linear Descriptor Systems and Existence of Functional ODE Estimators
| العنوان: | Partial Causal Detectability of Linear Descriptor Systems and Existence of Functional ODE Estimators |
|---|---|
| المؤلفون: | Jaiswal, Juhi, Berger, Thomas, Tomar, Nutan K. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, 93C05 93B53 93B07 34A09 |
| الوصف: | This paper studies the problem of state estimation for linear time-invariant descriptor systems in their most general form. The estimator is a system of ordinary differential equations (ODEs). We introduce the notion of partial causal detectability and characterize this concept by means of a simple rank criterion involving the system coefficient matrices. Also, several equivalent characterizations for partial causal detectability are established. In addition, we prove that partial causal detectability is equivalent to the existence of functional ODE estimators. A numerical example is given to validate the theoretical results. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.07968 |
| رقم الأكسشن: | edsarx.2405.07968 |
| قاعدة البيانات: | arXiv |
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