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LinearSystems

Guides

  • Guide for ZigangPan`LinearSystems`

Symbols

  • calculaterelativedegree
  • controllabilityQandindices
  • controllercanonicalform
  • detectabilityQ
  • DTLyapunovequation
  • DTRiccatiequation
  • dynamicextension
  • emptyLTIsystem
  • EZDCFAD
  • EZDCF
  • gainsystem
  • generalizedRiccatiequationHM
  • linearLyapunovequation
  • observabilityQandindices
  • observercanonicalform
  • rd0DMcompute
  • Riccatiequation
  • simulationLTIsystem
  • stablizabilityQ
  • strictobservercanonicalform
  • strictOCFAD
  • systemblockdiagonal
  • systemcheck
  • systemconcatenate
  • systemfeedback
  • systemoperation
  • systemparallel
  • uniformobservabilityindices
  • ZDCF
ZigangPan`LinearSystems`
gainsystem
​
gainsystem
[k]
returns an LTI system with no state,m outputs,p inputs,where {m,p}=Dimension[k], such that the system is defined as y =
k
.u.
​
Examples  
(1)
Basic Examples  
(1)
In[1]:=
k=Table[RandomInteger[8],{i,4},{j,2}]
Out[1]=
{{3,8},{5,1},{7,7},{2,7}}
In[2]:=
system1=
gainsystem
[k]
Out[2]=
{{},{tempinput1,tempinput2},{tempoutput1,tempoutput2,tempoutput3,tempoutput4},{{3,8},{5,1},{7,7},{2,7}},{1,2},{1,2,3,4},{1,2},{},{1,2,3,4},{}}
In[3]:=
systemcheck
[system1]
Out[3]=
True
SeeAlso
systemcheck
 
▪
systemblockdiagonal
 
▪
systemparallel
 
▪
systemconcatenate
 
▪
systemfeedback
""

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