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      The Versatile Cross Gramian for System Theoretic Model Reduction and More

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      ScienceOpen
      MoRePaS 2015 - Model Reduction of Parametrized Systems III
      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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            Conference
            ScienceOpen Posters
            ScienceOpen
            December 1 2015
            Author information
            https://orcid.org/0000-0003-2194-6754
            https://orcid.org/0000-0002-6260-3574
            Article
            10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1
            826d8020-b323-4ca2-9ccd-67fc8fc4f0ec

            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 .

            MoRePaS 2015 - Model Reduction of Parametrized Systems III
            History

            Numerical & Computational mathematics,Applied mathematics,Performance, Systems & Control,Mathematics
            model reduction, model order reduction, controllability, observability, cross gramian, control system, system theory, reduced order modelling

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