obs_gram
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
