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      The Versatile Cross Gramian for System Theoretic Model Reduction and More

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      This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

      model reduction, model order reduction, controllability, observability, cross gramian, control system, system theory, reduced order modelling

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          Abstract

          For input-output systems, the cross gramian matrix encodes controllability and observability information into a single matrix, which are essential to system-theoretic applications. This system gramian can be used, in example, for model order reduction, sensitivity analysis, system identification, decentralized control and parameter identification. Beyond linear symmetric systems, the cross gramian is also available for parametric, non-symmetric, non-square and nonlinear systems.

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          10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1

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