ctr_gram

ctr_gram — controllability gramian

Calling sequence

[Gc]=ctr_gram(A,B [,dom])  
[Gc]=ctr_gram(sl)  

Parameters

A,B : two real matrices of appropriate dimensions
dom : character string ('c' (default value) or 'd')
sl : linear system, syslin list

Description

Controllability gramian of (A,B) or sl (a syslin linear system).

dom character string giving the time domain : "d" for a discrete time system and "c" for continuous time (default case).

Examples



A=diag([-1,-2,-3]);B=rand(3,2);
Wc=ctr_gram(A,B)
U=rand(3,3);A1=U*A/U;B1=U*B;
Wc1=ctr_gram(A1,B1)    //Not invariant!
 
  

See also

equil1, obs_gram, contr, cont_mat, cont_frm, contrss

Author

S. Steer INRIA 1988