Existence and Completeness of Solutions to Extended Projected Dynamical Systems and Sector-bounded Projection-based Controllers

التفاصيل البيبلوغرافية
العنوان: Existence and Completeness of Solutions to Extended Projected Dynamical Systems and Sector-bounded Projection-based Controllers
المؤلفون: Heemels, Maurice, Tanwani, Aneel
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Optimization and Control, Mathematics - Dynamical Systems
الوصف: Projection-based control (PBC) systems have significant engineering impact and receive considerable scientific attention. To properly describe closed-loop PBC systems, extensions of classical projected dynamical systems are needed, because partial projection operators and irregular constraint sets (sectors) are crucial in PBC. These two features obstruct the application of existing results on existence and completeness of solutions. To establish a rigorous foundation for the analysis and design of PBC, we provide essential existence and completeness properties for this new class of discontinuous systems.
Comment: Submitted for publication
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.09362
رقم الأكسشن: edsarx.2303.09362
قاعدة البيانات: arXiv