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Linear Port-Hamiltonian Systems Are Generically Controllable [PDF]

open access: yesIEEE Transactions on Automatic Control, 2022
The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems.
Jonas Kirchhoff
exaly   +3 more sources

Lyapunov inequality for linear Hamiltonian systems on time scales

open access: yesJournal of Mathematical Analysis and Applications, 2005
The principal aim of this paper is to state and prove some Lyapunov inequalities for linear Hamiltonian system on an arbitrary time scale T, so that the well-known case of differential linear Hamiltonian systems (T=R) and the recently developed case of ...
Zhan Zhou
exaly   +2 more sources
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On the discretization of linear continuous Hamiltonian systems

2015 12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2015
When you discretized a continuous time linear Hamiltonian system you may expect that the result will be a discrete time Hamiltonian system, However this is not always true. In this paper we compare the following methods: Forward Euler, Backward Euler, Pole-Zero matching and Zero-order hold, in order to see which one preserves the Hamiltonian property ...
Jose Guillermo Rodriguez Servin   +1 more
openaire   +1 more source

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