Using conceptual and mathematical bridging between the physical (namely, mechanical) realization of a vibrational open system and notions from three-person differential linear games with quadratic cost functionals, the author successfully determines the way to define an open system as a potential and power supplier.

Two methodologies for accomplishing this task are discussed, linked to different matching approaches. One methodology uses ideas from energy transfer, and one uses mass interaction notions. The notions of “reachability,” “synchronization,” and “serpent” of the open system and its dynamic behavior are introduced and used in the discussion.

The paper’s introduction is not adequate in situating this study within its broader research environment. The paper is written in poor English, and this does not facilitate the assimilation of its important results.