Title :
Balanced gains and their significance for

model reduction
Author_Institution :
University of Michigan, Ann Arbor, MI, USA
fDate :
7/1/1985 12:00:00 AM
Abstract :
The singular values do not give enough information for model reduction in the L2sense. Other invariants are introduced which help describe the contribution of each state to the L2magnitude of the impulse response. This leads to another suboptimal balanced truncation criterion.
Keywords :
Reduced-order systems, linear; Asymptotic stability; Automatic control; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Feedback; Observability; Reduced order systems; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1104017