131 citations · 545 across the 59 of their papers we have counts for
Showing 2013 · math.OCShow all
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math.OC2013★ 2 cited
Model Reduction for Complex Hyperbolic Networks
Christian Himpe, Mario Ohlberger
We recently introduced the joint gramian for combined state and parameter reduction [C. Himpe and M. Ohlberger. Cross-Gramian Based Combined State and Parameter Reduction for Large…
math.OC2013★ 34 cited
Cross-Gramian-Based Combined State and Parameter Reduction for Large-Scale Control Systems
Christian Himpe, Mario Ohlberger
This work introduces the empirical cross gramian for multiple-input-multiple-output systems. The cross gramian is a tool for reducing the state space of control systems, which conj…
math.OC2013★ 20 cited
A Unified Software Framework for Empirical Gramians
Christian Himpe, Mario Ohlberger
A common approach in model reduction is balanced truncation, which is based on gramian matrices classifiying certain attributes of states or parameters of a given dynamic system. I…