Sparse identification of time delay systems via pseudospectral collocation

التفاصيل البيبلوغرافية
العنوان: Sparse identification of time delay systems via pseudospectral collocation
المؤلفون: Bozzo, Enrico, Breda, Dimitri, Tanveer, Muhammad
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Dynamical Systems, Mathematics - Numerical Analysis
الوصف: We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a system of ordinary differential equations via pseudospectral collocation. To minimize the reconstruction error, the new strategy avoids optimizing all possible multiple unknown delays, identifying only the maximum one. The computational burden is thus greatly reduced, improving the performance of recent implementations that work directly on the delay system.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.01971
رقم الأكسشن: edsarx.2408.01971
قاعدة البيانات: arXiv