• Additive Model
Reduction
•
qSuppose
•
•
• is a balanced realization with
Gramian S=diag (S1, S2)
qAS+SA*+BB*=0, A*S+SA+C*C=0
• where
qS1 =diag (s1 Is1, s2 Is2,…, sr Isr) , S2=diag (sr+1 Isr+1 , s2 Isr+2,…, sN IsN)
q and s1 > s2 >
… > sr> sr+1 >
sr+2 > … > sN ³0,