It sounds like you’re looking for a general treatment of the semantics of aspect, which might be a pretty big topic. Here are some resources that might contain frameworks and analyses relevant to what you’re looking for.
This book appears to be a perfect overview of the topic, and this article as well.
While general, this text can help you get rooted in how generative grammar theorizes about semantics, which relates to what you asked:
Heim, Irene, and Kratzer, Angelika. (1998). Semantics in Generative Grammar.
This scholar has done work in cross-linguistic temporal semantics:
Matthewson, L. Temporal semantics in a superficially tenseless language. Linguistics & Philosophy 29, 673–713 (2006). https://doi.org/10.1007/s10988-006-9010-6
Matthewson, L. & Todorovic, N. & Schwan, M. D., (2022) “Future time reference and viewpoint aspect: Evidence from Gitksan”, Glossa: a journal of general linguistics 7(1). doi: https://doi.org/10.16995/glossa.6341
This is a general treatment of event structures, relevant to aspect:
Dölling, Johannes, Heyde-Zybatow, Tatjana, and Schäfer, Martin, eds. (2008). Event Structures in Linguistic Form and Interpretation.
This work classifies verbs via a “time schema”, incl. states, activities, accomplishments, achievements:
Vendler, Zeno. (1957). Verbs and Times. The Philosophical Review.
Lastly, these articles are about the semantics of aspect, for other languages, but they are still a good entry into seeing how aspect can be analyzed in modern linguistics.
Semantics of verbs of motion in Russian:
https://web.stanford.edu/group/cslipublications/cslipublications/site/1575862360.shtml
“These verbs are characterized by special aspectual properties, since in addition to the typical perfective/imperfective opposition, they exhibit a further aspectual distinction, sometimes referred to in the literature as determinate / indeterminate contrast. Determinate and indeterminate verbs do not differ in terms of their lexical meaning but do have different aspectual usages.”
Parameters of Slavic Aspect:
http://linguistics.huji.ac.il/IATL/23/Kagan.pdf
The acquisition of perfective and imperfective passive constructions in Russian:
https://core.ac.uk/download/pdf/76381611.pdf