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Probably a simple question (1 viewing) (1) Guest
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TOPIC: Probably a simple question
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Probably a simple question 2 Years, 1 Month ago
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Karma: 0
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Hi!
I'm new to yalmip and I am not too familiar with the notaion, so this is prpbably a simple question for you. I know how to do this with the Lmi toolbox in matlab, but want to use yalmip instead.
I want to check if I can find a Lyapunov funciton. I get a solution with the Lmi toolbox but with yalmip I get 'infeasible', so I must have made some mistake.
System:
A=[-1 0.5;.1 -3];
B=[1 ; 1];
C=[1 1];
D=[1];
BRL:
gama=.25;
|A'*X+X*A X*B C' |
| B'*X -gama D' | < 0
| C D -gama|
X=X'>0
Thanks in advance!
Tore
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Last Edit: 2011/03/22 05:30 By flogstad.
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Re: Probably a simple question 2 Years, 1 Month ago
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Karma: 32
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The problem is infeasible. The smallest possible gama is 2.56
sdpvar gama
X = sdpvar(2,2)
Constraints = [X>0, [A'*X+X*A X*B C';B'*X -gama D' ; C D -gama] < 0]
solvesdp(Constraints,gama)
You've either stated the wrong model here, implemented the wrong problem in LMILAB, or missed an infeasibility messsage from LMILAB
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lofberg
Platinum Boarder
Posts: 2280
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