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- Title
A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs.
- Authors
Borsche, R.; Kocoglu, D.; Trenn, S.
- Abstract
A distributional solution framework is developed for systems consisting of linear hyperbolic partial differential equations and switched differential-algebraic equations (DAEs) which are coupled via boundary conditions. The unique solvability is then characterize in terms of a switched delay DAE. The theory is illustrated with an example of electric power lines modelled by the telegraph equations which are coupled via a switching transformer where simulations confirm the predicted impulsive solutions.
- Subjects
HYPERBOLIC differential equations; ELECTRIC lines; PARTIAL differential equations; DIFFERENTIAL-algebraic equations; LINEAR systems
- Publication
Mathematics of Control, Signals & Systems, 2020, Vol 32, Issue 4, p455
- ISSN
0932-4194
- Publication type
Article
- DOI
10.1007/s00498-020-00267-7