**Dept. of Computer and Information science, Linköping University**

## IDA Technical Reports: abstract

*Generated: Sat, 18 Nov 2017 20:35:13 *

Söderman, U. and Strömberg, J.-E. (1995).
** Switched Bond
Graphs: multiport switches, mathematical characterization and systematic
composition of computational models**.
Technical Report LiTH-IDA-R-95-07, Department of Computer and Information
Science, Linköping University, Sweden.
(bibtex),

**Abstract: **Classical bond graphs are in principal
restricted to the modelling of continuous physical systems only. In previous
work we have extended classical bond graphs to systems involving abrupt
changes as well. This extension is centered around the introduction of an
ideal primitive switch concept. In this paper we continue this work and
extend it in a number of important directions. We present the multiport
generalization of the previously introduced primitive one-port switch. We
elaborate on the mathematical semantics of individual switch elements as well
as complete switched bond graphs, i.e. bond graphs involving one or more
switch elements. We discuss the systematic composition of computational
models for switched bond graphs and for this purpose we introduce a
constructive composition operator. Finally, we also discuss some ideas to
deal with model complexity and 'non-physical' modes. Here, the multiport
switch plays an important role. For the representation of the composed
computational models of switched bond graphs we introduce a mathematical
structure related with state automata. This structure is referred to as mode
transition systems. For the mathematical characterization of individual
switch elements a simplified version of this structure, referred to as switch
transition systems, is introduced.

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