Abstract
The authors have introduced stochastic port-Hamiltonian systems and have clarified some of their properties. Stochastic port-Hamiltonian systems are extension of deterministic port-Hamiltonian systems, which are used to express various deterministic passive systems. However, since only time-invariant case has been considered in our previous results, the aim of this paper is to extend them to time-varying case. Finally, we propose a stabilization method based on passivity and the stochastic generalized canonical transformation, which is a pair of coordinate and feedback transformations preserving the stochastic Hamiltonian structure.
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