Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 67, Issue 6, Pages 3220-3222Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3098176
Keywords
TV; Topology; Standards; Kalman filters; Random variables; Periodic structures; Ordinary differential equations; Controllability; linear systems; port-Hamiltonian systems
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This paper introduces the new concept of relative generic subsets and shows 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, implying that a random, continuously distributed port-Hamiltonian system is almost surely controllable.
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. This implies that a random, continuously distributed port-Hamiltonian system is almost surely controllable.
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