Incrementally port-Hamiltonian systems

被引:0
|
作者
Camlibel, M. K. [1 ]
van der Schaft, A. J. [1 ]
机构
[1] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, NL-9700 AK Groningen, Netherlands
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper introduces the new class of incrementally port-Hamiltonian systems. This class can be obtained from standard port-Hamiltonian systems by replacing the composition of the Dirac structure and energy-dissipating relation by a maximal monotone relation. After introducing this new class of systems, we study their compositions and show that incrementally port-Hamiltonian systems are closed under composition. Also, we study existence and uniqueness os state trajectories for such systems as well as an energy-based state re-initialization principle.
引用
收藏
页码:2538 / 2543
页数:6
相关论文
共 50 条
  • [1] Stochastic Port-Hamiltonian Systems
    Francesco Cordoni
    Luca Di Persio
    Riccardo Muradore
    [J]. Journal of Nonlinear Science, 2022, 32
  • [2] Memristive port-Hamiltonian Systems
    Jeltsema, Dimitri
    van der Schaft, Arjan J.
    [J]. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2010, 16 (02) : 75 - 93
  • [3] PORT-HAMILTONIAN SYSTEMS ON GRAPHS
    van der Schaft, A. J.
    Maschke, B. M.
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (02) : 906 - 937
  • [4] Stochastic Port-Hamiltonian Systems
    Cordoni, Francesco
    Di Persio, Luca
    Muradore, Riccardo
    [J]. JOURNAL OF NONLINEAR SCIENCE, 2022, 32 (06)
  • [5] Observability for port-Hamiltonian systems
    Jacob, Birgit
    Zwart, Hans
    [J]. 2021 EUROPEAN CONTROL CONFERENCE (ECC), 2021, : 2052 - 2057
  • [6] Discrete port-Hamiltonian systems
    Talasila, V
    Clemente-Gallardo, J
    van der Schaft, AJ
    [J]. SYSTEMS & CONTROL LETTERS, 2006, 55 (06) : 478 - 486
  • [7] On the interconnection of irreversible port-Hamiltonian systems
    Ramirez, Hector
    Le Gorrec, Yann
    [J]. IFAC PAPERSONLINE, 2023, 56 (01): : 114 - 119
  • [8] Linear port-Hamiltonian descriptor systems
    Beattie, Christopher
    Mehrmann, Volker
    Xu, Hongguo
    Zwart, Hans
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2018, 30 (04)
  • [9] Linear port-Hamiltonian descriptor systems
    Christopher Beattie
    Volker Mehrmann
    Hongguo Xu
    Hans Zwart
    [J]. Mathematics of Control, Signals, and Systems, 2018, 30
  • [10] PORT-HAMILTONIAN SYSTEMS THEORY AND MONOTONICITY
    Camlibel, M. K.
    Van der Schaftdagger, A. J.
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (04) : 2193 - 2221