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Stabilization of port-Hamiltonian systems with discontinuous energy densities
Jochen Schmid
We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we ha…
Weak input-to-state stability: characterizations and counterexamples
Jochen Schmid
We establish characterizations of weak input-to-state stability for abstract dynamical systems with inputs, which are similar to characterizations of uniform and of strong input-to…
Adiabatic theorems for general linear operators with time-dependent domains
Jochen Schmid
We establish adiabatic theorems with and without spectral gap condition for general -- typically dissipative -- linear operators with time-dependent…
Adiabatic theorems for general linear operators with time-independent domains
Jochen Schmid
We establish adiabatic theorems with and without spectral gap condition for general -- typically dissipative -- linear operators with time-independe…
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances
Jochen Schmid, Hans Zwart
In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of arbitrary order on a bounded -dimensional spatial domain .…