Balanced realizations for linear systems: a variational approach
SIAM Journal on Control and Optimization
Model Reduction for Control System Design
Model Reduction for Control System Design
Numerical methods for ordinary differential equations on matrix manifolds
Journal of Computational and Applied Mathematics
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In this paper we propose dynamical systems for computing diagonal balanced realizations arising in control theory, particularly, we deal with Euclidean diagonal norm balanced realizations. The limiting solution of a differential flow appears to be a possible way of finding such realizations since no direct algebraic algorithm is known.