riccati
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Name

riccati — Riccati equation

Calling Sequence

X=riccati(A,B,C,dom,[typ])
[X1,X2]=riccati(A,B,C,dom,[typ])

Parameters

A,B,C

real matrices nxn, B and C symetric.

dom

: 'c' or 'd' for the time domain (continuous or discrete)

typ

string : 'eigen' for block diagonalization or schur' for Schur method.

X1,X2,X

square real matrices (X2 invertible), X symmetric

Description

X=riccati(A,B,C,dom,[typ]) solves the Riccati equation:


A'*X+X*A-X*B*X+C=0

in continuous time case, or:


 A'*X*A-(A'*X*B1/(B2+B1'*X*B1))*(B1'*X*A)+C-X

with B=B1/B2*B1' in the discrete time case. If called with two output arguments, riccati returns X1,X2 such that X=X1/X2.

See Also

ricc , ric_desc
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