obs_gram
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Name

obs_gram — observability gramian

Calling Sequence

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

Parameters

A,C

real matrices (of appropriate dimensions)

dom

string ("d' or "c" (default value))

sl

: syslin list

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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