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.
Borsche, R., Garavello, M., Kocoglu, D. (2023). Switched hyperbolic balance laws and differential algebraic equations. ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2023(1) [10.1186/s13662-023-03764-6].
Switched hyperbolic balance laws and differential algebraic equations
Garavello M.
;
2023
Abstract
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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