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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`
DTLyapunovequation
​
X=DTLyapunovequation[a,
b
,q]
calculates the solution to the discrete-time Lyapunov equation
a
.
X
.
b
+
q
=
X
assuming there exists a unique solution.
​
Examples  
(1)
Basic Examples  
(1)
In[1]:=
a={{0.3,1},{0,0.5}};b=Transpose[a];q=IdentityMatrix[2];​​
DTLyapunovequation
[a,b,q]
Out[1]=
{{3.08123,0.784314},{0.784314,1.33333}}
SeeAlso
DTRiccatiequation
 
▪
linearLyapunovequation
 
▪
Riccatiequation
 
▪
generalizedRiccatiequationHM
""

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