LyapunovSolve

LyapunovSolve[a,c]

finds a solution of the matrix Lyapunov equation .

LyapunovSolve[a,b,c]

solves .

LyapunovSolve[{a,d},c]

solves .

LyapunovSolve[{a,d},{b,e},c]

solves .

Details

  • LyapunovSolve solves the continuous-time Lyapunov and Sylvester equations.
  • LyapunovSolve works on both numerical and symbolic matrices.

Examples

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Basic Examples  (1)

Solve the Lyapunov equation :

In[1]:=
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In[2]:=
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Out[2]=

Scope  (7)

Applications  (7)

Properties & Relations  (5)

See Also

DiscreteLyapunovSolve  ControllabilityGramian  ObservabilityGramian  LinearSolve

Introduced in 2010
(8.0)