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Possessive determiners indicate an association between an object/thing and a person/entity. For example, consider the sentence: "John loves his son." The word "my" is a possessive determiner. It indicates an association between the "son" and John.
Possessive determiners can be either personal or impersonal. In the example above, the possessive determiner "his" is personal, because it refers to a person ("John"). However, consider the sentence: "The tree shed its leaves." The word "its" is an impersonal possessive determiner, because it does not refer to a person but to an object ("tree"). It indicates an association between the "leaves" and the "tree."