Scilab Function

obs_gram - observability gramian

### Sequence d'appel

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

### Parametres

- `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

### Exemples

    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)

### Voir aussi

`ctr_gram` `obsvss` `obsv_mat` `lyap`