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Sufficient conditions for exponential stability of linear infinite-dimensional port-Hamiltonian systems with dissipation are developed. These conditions are formulated in terms of the stability of an extended port-Hamiltonian system without dissipation. We investigate this question in a more general operator theoretical setting., Comment: 18 pages

The control algebraic Riccati equation is studied for a class of systems with unbounded control and observation operators. Using a dichotomy property of the associated Hamiltonian operator matrix, two invariant graph subspaces are constructed which yield a nonnegative and a nonpositive solution of the Riccati equation. The boundedness of the nonnegative solution and the exponential stability of the associated feedback system is proved for the case that the generator of the system has a compact resolvent.