Interpolatory Model Reduction of Parameterized Bilinear Dynamical Systems

Details

• Personal Author:
  Borggaard J ; Carracedo Rodriguez A ; Gugercin S
• Description:
  Interpolatory projection methods for model reduction of nonparametric linear dynamical systems have been successfully extended to nonparametric bilinear dynamical systems. However, this has not yet occurred for parametric bilinear systems. In this work, we aim to close this gap by providing a natural extension of interpolatory projections to model reduction of parametric bilinear dynamical systems. We introduce necessary conditions that the projection subspaces must satisfy to obtain parametric tangential interpolation of each subsystem transfer function. These conditions also guarantee that the parameter sensitivities (Jacobian) of each subsystem transfer function are matched tangentially by those of the corresponding reduced-order model transfer function. Similarly, we obtain conditions for interpolating the parameter Hessian of the transfer function by including additional vectors in the projection subspaces. As in the parametric linear case, the basis construction for two-sided projections does not require computing the Jacobian or the Hessian. [Description provided by NIOSH]
• Subjects:
  Occupational Health Safety
• Keywords:
  Author Keywords: Bilinear Computerized Simulation Interpolation Mathematical Models Model Reduction Parametric Simulation Methods Statistical Quality Control
• ISSN:
  1019-7168
• Document Type:
  Text
• Funding:
  Contract
• Genre:
  Journal Article
• Place as Subject:
  OSHA Region 3 ; Virginia
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Volume:
  44
• Issue:
  6
• NIOSHTIC Number:
  nn:20068919
• Citation:
  Adv Comput Math 2018 Dec; 44(6):1887-1916
• Contact Point Address:
  Andrea Carracedo Rodriguez, Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA
• Email:
  crandrea@vt.edu
• Federal Fiscal Year:
  2019
• Performing Organization:
  Virginia Polytechnic Institute & State University
• Peer Reviewed:
  True
• Start Date:
  20140901
• Source Full Name:
  Advances in Computational Mathematics
• End Date:
  20190831
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:90942ebd1fbf11a075d13284af362202fd43b541fc0397b50c36387e7845830f83e3b9d2d04798c2145e7fa13fc9804872abb89e41121969ebca0ef738be28f0
• Download URL:
  https://stacks.cdc.gov/view/cdc/207482/cdc_207482_DS1.pdf
• File Type:
  [PDF - 1.86 MB ]