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SystemsModelMerge
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SystemsModelMerge

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SystemsModelMerge[{sys1,sys2,…}]

merges the systems models sysj.

Details

Examples

open allclose all

Basic Examples  (4)Summary of the most common use cases

Merge two continuous-time systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-j4bnlb
Out[1]=1

Merge two discrete-time systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-bpcetx
Out[1]=1

Merge two StateSpaceModel systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-e2pb9c
Out[1]=1

Merge AffineStateSpaceModel systems with a common input variable:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-frdgi9
Out[1]=1

Scope  (13)Survey of the scope of standard use cases

Basic Uses  (5)

Merge two scalar systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-d3i6bx
Out[1]=1

Merge three systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-cjmtpx
Out[1]=1

Merge systems that share input variables:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-e9tzx8
Out[1]=1

When an input and state have the same variable name, the state defines the input:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-jvz4re
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-5wzada
In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-c5y825
Out[3]=3

Merge a StateSpaceModel and a TransferFunctionModel:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-g6eoec
Out[1]=1

System Types  (8)

Merge two TransferFunctionModel systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-omtvq3
Out[1]=1

Delay systems:

In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-blx1qv
Out[2]=2

Improper transfer functions:

In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-bunng0
Out[3]=3

Merge two StateSpaceModel systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-8062pm
Out[1]=1

Delay systems:

In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-jsvinl
Out[2]=2

Descriptor state-space systems:

In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-ddom91
Out[3]=3

AffineStateSpaceModel systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-wymneu
Out[1]=1

NonlinearStateSpaceModel systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-lj0qwy
Out[1]=1

Merging a TransferFunctionModel and StateSpaceModel will give a StateSpaceModel:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-s27jj
Out[1]=1

Systems with delays:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-bxf1xe
Out[1]=1

Standard linear system and an AffineStateSpaceModel will give an AffineStateSpaceModel:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-ojg65x
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-b2n1y9
Out[2]=2

Standard linear with NonlinearStateSpaceModel gives a NonlinearStateSpaceModel:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-dzd7s
Out[1]=1

AffineStateSpaceModel with NonlinearStateSpaceModel again gives the latter:

In[2]:=2
✖
https://wolfram.com/xid/0fq2m1vbg8fli-1v79d
Out[2]=2

Applications  (1)Sample problems that can be solved with this function

Use SystemsModelMerge in multi-loop reduction:

The subsystems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-2t33he
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-s52wr7
In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-b50zf2
In[4]:=4
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https://wolfram.com/xid/0fq2m1vbg8fli-85dt42
In[5]:=5
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https://wolfram.com/xid/0fq2m1vbg8fli-04vvzh

The connections:

In[6]:=6
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https://wolfram.com/xid/0fq2m1vbg8fli-vfr1vp

The inputs and outputs:

In[7]:=7
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https://wolfram.com/xid/0fq2m1vbg8fli-1ynegd

The connections model:

In[9]:=9
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https://wolfram.com/xid/0fq2m1vbg8fli-yr3oho
Out[9]=9

Reduce the system:

In[10]:=10
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https://wolfram.com/xid/0fq2m1vbg8fli-zxw2sp
Out[10]=10

Properties & Relations  (4)Properties of the function, and connections to other functions

By default, SystemsModelMerge does not connect inputs or sum outputs:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-63nfc3
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-1n6mg8
Out[2]=2

SystemsModelParallelConnect connects inputs and sums outputs:

In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-13w7gx
Out[3]=3

When no variables match, SystemsModelMerge is a case of SystemsModelParallelConnect:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-civhuw
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-clkmeh
Out[2]=2

SystemsModelMerge can be used to merge two or more systems:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-6z60tb
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-npuno7
Out[2]=2

SystemsModelParallelConnect connects only two systems:

In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-7wlb8w
Out[3]=3

SystemsModelMerge can merge a system with no inputs or outputs to another system:

In[1]:=1
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https://wolfram.com/xid/0fq2m1vbg8fli-c59b3s
In[2]:=2
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https://wolfram.com/xid/0fq2m1vbg8fli-n5caju
In[3]:=3
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https://wolfram.com/xid/0fq2m1vbg8fli-5m8ddo
Out[3]=3

It does not make sense to connect such systems in parallel:

In[4]:=4
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https://wolfram.com/xid/0fq2m1vbg8fli-ecmbaz
Out[4]=4
Wolfram Research (2014), SystemsModelMerge, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelMerge.html.
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Wolfram Research (2014), SystemsModelMerge, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelMerge.html.

Text

Wolfram Research (2014), SystemsModelMerge, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelMerge.html.

✖
Wolfram Research (2014), SystemsModelMerge, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelMerge.html.

CMS

Wolfram Language. 2014. "SystemsModelMerge." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SystemsModelMerge.html.

✖
Wolfram Language. 2014. "SystemsModelMerge." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SystemsModelMerge.html.

APA

Wolfram Language. (2014). SystemsModelMerge. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemsModelMerge.html

✖
Wolfram Language. (2014). SystemsModelMerge. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemsModelMerge.html

BibTeX

@misc{reference.wolfram_2025_systemsmodelmerge, author="Wolfram Research", title="{SystemsModelMerge}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/SystemsModelMerge.html}", note=[Accessed: 29-March-2025 ]}

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@misc{reference.wolfram_2025_systemsmodelmerge, author="Wolfram Research", title="{SystemsModelMerge}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/SystemsModelMerge.html}", note=[Accessed: 29-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_systemsmodelmerge, organization={Wolfram Research}, title={SystemsModelMerge}, year={2014}, url={https://reference.wolfram.com/language/ref/SystemsModelMerge.html}, note=[Accessed: 29-March-2025 ]}

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@online{reference.wolfram_2025_systemsmodelmerge, organization={Wolfram Research}, title={SystemsModelMerge}, year={2014}, url={https://reference.wolfram.com/language/ref/SystemsModelMerge.html}, note=[Accessed: 29-March-2025 ]}