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http://www.robotic.dlr.de/control/publications/2000/varga_cdc2000p3.pdf
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Abstract:

On stochastic balancing related model reduction We propose a general method based on the balanced stochastic truncation (BST) approach for the model reduction of stable linear systems. The new method relies on a recent general inner-outer factorization result and extends the applicability of the BST method to systems with infinite zeros. A computational algorithm with enhanced accuracy for the new BST model reduction approach is presented. The capabilities and advantages of the new approach are illustrated on an example. 1

Citations

183 Principal component analysis in linear systems: Controllability, observability, and model reduction – Moore - 1981
52 Numerical solution of the stable, non-negative definite Lyapunov equation – HAMMARLING - 1982
44 Truncated balanced realization of a stable non-minimal state-space system – Tombs, Postlethwaite - 1987
36 A Transformation Approach to Stochastic Model Reduction – Desai, Pal - 1984
22 Singular Perturbation Approximation of Balanced Systems – Liu, Anderson - 1989
12 Balanced Stochastic Realizations – Green - 1988
12 Model reduction for robust control: a Schur relative error method – Safonov, Chiang - 1988
10 A new square-root balancing-free stochastic truncation model reduction algorithm – Varga, Fasol - 1993
10 Frequency-weighted Balanced Reduction of Closed-loop Mechanical Servo-systems: Theory and Tools – Wortelboer - 1994
8 2000): Computation of general inner-outer and spectral factorizations – Oară, Varga
5 Multiplicative approximation of linear multivariable systems with L∞ error bounds – Glover - 1986
5 A relative error bound for balanced stochastic truncation – Green - 1988
5 The general inner-outer factorization problem for discrete-time systems – Oară, Varga - 1999
1 Comparison between continuous and discrete-time model truncation – Wang, Safonov - 1990