Man Scilab

obs_gram
Scilab Function

obs_gram - observability gramian

Calling Sequence

Go=obs_gram(A,C [,dom])
Go=obs_gram(sl)

Parameters

Description

Observability gramian of the pair (A,C) or linear system sl ( syslin list). dom is the domain which can be

"c" : continuous system (default)
"d" : discrete system

Examples


A=-diag(1:3);C=rand(2,3);
Go=obs_gram(A,C,'c');     // <=> w=syslin('c',A,[],C); Go=obs_gram(w);
norm(Go*A+A'*Go+C'*C,1)
norm(lyap(A,-C'*C,'c')-Go,1)
A=A/4; Go=obs_gram(A,C,'d');    //discrete time case
norm(lyap(A,-C'*C,'d')-Go,1)
 
  

See Also

ctr_gram ,   obsvss ,   obsv_mat ,   lyap ,  

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