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Hamiltonian systems discrete-time approximation: Losslessness, passivity and composability

  • Published:2017-12 Issue: Volume:110 Page:9-14
  • ISSN:0167-6911
  • Container-title:Systems & Control Letters
  • language:en
  • Short-container-title:Systems & Control Letters

Author:

Aoues Said,Di Loreto Michael,Eberard Damien,Marquis-Favre Wilfrid

Funder

French National Research Agency

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Mechanical Engineering,General Computer Science,Control and Systems Engineering

Reference34 articles.

1. Discrete numerical methods;Greenspan,1974

2. Hamiltonian-conserving discrete canonical equations based on variational difference quotients;Itoh;J. Comput. Phys.,1988

3. Time-discretization of Hamiltonian dynamical systems;Shibberu;Comput. Math. Appl.,1994

4. Time integration and discrete Hamiltonian Systems;Gonzalez;Nonlinear Sci.,1996

5. Linear energy-preserving integrators for Poisson systems;Cohen;BIT Numer. Math.,2011

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1. Passivity Techniques and Hamiltonian Structures in Discrete Time;Springer Proceedings in Mathematics & Statistics;2024

2. A Discrete-Time Formulation of Nonlinear Distributed-Parameter Port-Hamiltonian Systems;IEEE Control Systems Letters;2024

3. Distributed-Parameter Port-Hamiltonian Systems in Discrete-Time;2023 62nd IEEE Conference on Decision and Control (CDC);2023-12-13

4. Control Design for a Class of Discrete-Time Port-Hamiltonian Systems;IEEE Transactions on Automatic Control;2023-12

5. Observer Design for a Class of Discrete Port Hamiltonian Systems;Journal of Control, Automation and Electrical Systems;2023-06-15
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