A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs

被引：2
|
作者：
Borsche, R. [1 ]
Kocoglu, D. [1 ]
Trenn, S. [2 ]
机构：
[1] Tech Univ Kaiserslautern, Dept Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany
[2] Univ Groningen, Bernoulli Inst Math CS & AI, Nijenborgh 9, Groningen, Netherlands
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2020年 / 32卷 / 04期
关键词：
Solution theory; Coupled systems; Switched systems; Partial differential equations; Differential algebraic equations; PROPAGATION; TRANSPORT; EQUATIONS; SYSTEMS;
D O I：
10.1007/s00498-020-00267-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：455 / 487
页数：33
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