Switched hyperbolic balance laws and differential algebraic equations

被引：0
作者：
Raul Borsche
Mauro Garavello
Damla Kocoglu
机构：
[1] Technische Universität Kaiserslautern,Fachbereich Mathematik
[2] University of Milano-Bicocca,Department of Mathematics and its Applications
来源：
Advances in Continuous and Discrete Models | / 2023卷
关键词：
Balance laws; Differential algebraic equations; Switched system; Well-posedness; 35L65; 35M33; 34A09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Motivated by several applications, we investigate the well-posedness of a switched system composed by a system of linear hyperbolic balance laws and by a system of linear algebraic differential equations. This setting includes networks and looped systems of hyperbolic balance laws. The obtained results are globally in time, provided that the inputs have finite (but not necessarily small) total variation.
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