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Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians

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  • Li, Yanpeng
  • Jiang, Yaolin
  • Yang, Ping

Abstract

Based on the approximate finite-time Gramians, this paper studies model order reduction method of port-Hamiltonian systems with inhomogeneous initial conditions. The approximate controllability and observability Gramians on the finite-time interval [T1,T2](0≤T1

Suggested Citation

  • Li, Yanpeng & Jiang, Yaolin & Yang, Ping, 2022. "Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    • Handle: RePEc:eee:apmaco:v:422:y:2022:i:c:s0096300322000455
    DOI: 10.1016/j.amc.2022.126959
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    References listed on IDEAS

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    1. Daraghmeh, Adnan & Hartmann, Carsten & Qatanani, Naji, 2019. "Balanced model reduction of linear systems with nonzero initial conditions: Singular perturbation approximation," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 295-307.
    2. Ibrir, S. & Bettayeb, M., 2015. "Model reduction of a class of discrete-time nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 78-93.
    3. Daraghmeh, Adnan & Qatanani, Naji & Hartmann, Carsten, 2018. "Optimal control of linear systems with balanced reduced-order models: Perturbation approximations," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 119-136.
    4. Goyal, Pawan & Redmann, Martin, 2019. "Time-limited H2-optimal model order reduction," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 184-197.
    5. Breedveld, Peter C, 2004. "Port-based modeling of mechatronic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(2), pages 99-128.
    6. Christian Himpe & Mario Ohlberger, 2014. "Cross-Gramian-Based Combined State and Parameter Reduction for Large-Scale Control Systems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, July.
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