The headword is the present middle/passive participle, masculine accusative plural, of the verb periba/llw, I throw about, around, over, appropriate, capture; I put on); cf. pi 1077, pi 1079, and see generally LSJ s.v. One might suppose it to be extracted from the first quotation given, but parallel entries in other lexica (see next note) have no quotations, and Theodoridis on Photius s.v. follows S.A. Naber in regarding this participle as extracted from Homer, Odyssey 22.148.
[1] The headword is identically glossed in the Synagoge and Photius' Lexicon (pi643 Theodoridis); cf. Lexica Segueriana 337.20. Adler also cites Boysen's Lexicon Seguerianum. [In her critical apparatus Adler reports that ms F omitted the remainder of the entry.]
[2] An approximation -- the major discrepancy is that the participle is aorist peribalome/nous ("having appropriated"), not the Suda's present periballome/nous -- of Xenophon, Cyropaedia 1.4.17 (web address 1). It describes (perhaps apocryphally) hunting and pillaging forays into the Median frontier (Barrington Atlas map 3 grid E3) directed by the young Cyrus (I) the Great of Persia (Kurash, Kurush (Old Persian), Kyros (Greek); d. 530-529; kappa 2777, kappa 2778, and see generally OCD(4) s.v. Cyrus(1)).
[3] Polybius 18.17.6 (web address 2), describing the speech by Attalus I (269-197, ruler of Pergamum 241-197) on his diplomatic mission to Thebes in spring 197; cf. alpha 4316 and see generally OCD(4) s.v. Attalus I. Against Paton's translation (their ancestors, pp. 120-1), Walbank (citing Livy 33.2: web address 3) takes this to indicate Attalus's ancestors, not those of his listeners (pp. 572).
[4] See more fully at delta 1704, where Adler suggests Aelian as a possible source. [This fragment is lacking in ms A (so Adler).]
[5] Aelian fr. 176 Hercher (179 Domingo-Forasté), more fully at sigma 1191. [Adler notes that mss AVM read au)tw=n desmoi=s: surrounding them with chains.]