Balanced Truncation
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powerful technique to reduce the state-space dimension of a dynamical system
The basic principle is to identify a subspace of jointly easily controllable and observable states and then to restrict the dynamics to this subspace, hopefully without changing the overall response of the system too much.
This approach is based on balancing the controllable and observable subspaces, and exploits the properties of the underlying dynamical system in that it uses the properties of the controllability and observability Gramians to identify suitable small parameters that are sent to 0 to yield a reduced-order system
List of mathematical expressions with quantities
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Computational tasks specializing Balanced Truncation
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