SystemsConnectionsModel [{sys1,sys2,…},conxs,ins,outs]
gives a model with inputs ins and outputs outs obtained by connecting the systems models sysi using connections conxs.
SystemsConnectionsModel
SystemsConnectionsModel [{sys1,sys2,…},conxs,ins,outs]
gives a model with inputs ins and outputs outs obtained by connecting the systems models sysi using connections conxs.
Details
- The systems model sysi can be a TransferFunctionModel , StateSpaceModel , AffineStateSpaceModel , NonlinearStateSpaceModel or another SystemsConnectionsModel .
- The p^(th) input or output of sysi is referred to by the integer pair {i,p}.
- Each connection in conxs must be specified as {i,p}->{j,q}.
- Each input and output in ins and outs must be specified as {i,p}.
Examples
open all close allBasic Examples (3)
A series connection:
A feedback connection:
A nested connection:
The inner feedback system:
The complete system:
Scope (6)
Connect systems of the same kind:
Connect systems of different kinds:
Connect discrete-time systems:
Multivariable systems:
A system with an internal signal that is also an output:
A system with no internal connections:
Applications (2)
Reduce a block diagram:
The subsystems:
The connections model:
Reduce the system:
A systems model with three subsystems running on an Arduino Uno microcontroller board:
The first subsystem is a moving-average filter:
The second subsystem is a ButterworthFilterModel :
The third subsystem compares the outputs of the earlier subsystems:
The complete system:
Embed it in the microcontroller board:
Properties & Relations (4)
SystemsModelMerge will try to merge a SystemsConnectionsModel :
SystemsModelSeriesConnect is a special case:
SystemsModelParallelConnect is a special case:
SystemsModelFeedbackConnect is a special case:
Related Guides
History
Text
Wolfram Research (2019), SystemsConnectionsModel, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsConnectionsModel.html.
CMS
Wolfram Language. 2019. "SystemsConnectionsModel." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SystemsConnectionsModel.html.
APA
Wolfram Language. (2019). SystemsConnectionsModel. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemsConnectionsModel.html
BibTeX
@misc{reference.wolfram_2025_systemsconnectionsmodel, author="Wolfram Research", title="{SystemsConnectionsModel}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/SystemsConnectionsModel.html}", note=[Accessed: 04-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_systemsconnectionsmodel, organization={Wolfram Research}, title={SystemsConnectionsModel}, year={2019}, url={https://reference.wolfram.com/language/ref/SystemsConnectionsModel.html}, note=[Accessed: 04-January-2026]}