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[00776] Towards a modeling class for port-Hamiltonian systems with time-delay

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G401
  • Type : Contributed Talk
  • Abstract : The framework of port-Hamiltonian (pH) systems is a broadly applicable modeling paradigm. In this talk, we extend the scope of pH systems to time-delay systems. Our definition of a delay pH system is motivated by investigating the Kalman-Yakubovich-Popov inequality on the corresponding infinite-dimensional operator equation. Moreover, we show that delay pH systems are passive and closed under interconnection. We describe an explicit way to construct a Lyapunov-Krasovskii functional and discuss implications for delayed feedback.
  • Classification : 34K06, 37J06, 93C05, 34A09
  • Format : Talk at Waseda University
  • Author(s) :
    • Dorothea Hinsen (TU Berlin)
    • Tobias Breiten (TU Berlin)
    • Benjamin Unger (University of Stuttgart)