{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T08:01:06Z","timestamp":1767772866860,"version":"3.37.3"},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2021,4,1]],"date-time":"2021-04-01T00:00:00Z","timestamp":1617235200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["19-41-02002"],"award-info":[{"award-number":["19-41-02002"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Leading Scientific Schools of Russia Project","award":["NSh-2624.2020.1 (open access)"],"award-info":[{"award-number":["NSh-2624.2020.1 (open access)"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Circuits Syst. II"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1109\/tcsii.2020.3038075","type":"journal-article","created":{"date-parts":[[2020,11,13]],"date-time":"2020-11-13T21:09:31Z","timestamp":1605301771000},"page":"1467-1471","source":"Crossref","is-referenced-by-count":16,"title":["The Egan Problem on the Pull-in Range of Type 2 PLLs"],"prefix":"10.1109","volume":"68","author":[{"given":"Nikolay V.","family":"Kuznetsov","sequence":"first","affiliation":[]},{"given":"Mikhail Y.","family":"Lobachev","sequence":"additional","affiliation":[]},{"given":"Marat V.","family":"Yuldashev","sequence":"additional","affiliation":[]},{"given":"Renat V.","family":"Yuldashev","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.4324\/9781315394985"},{"key":"ref38","article-title":"Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs","author":"kuznetsov","year":"2020","journal-title":"Proc 21st IFAC World Congr"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1134\/S1064562419060218"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/26.64662"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/MILCOM.1988.13431"},{"journal-title":"Nonlinear Mathematical Models Of Phase-Locked Loops Stability and Oscillations","year":"2014","author":"leonov","key":"ref30"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2016.2537823"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1975.1092807"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1969.1090043"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1968.1089800"},{"key":"ref10","first-page":"513","article-title":"Stability and dynamical properties of astatic frequency synchronization system","volume":"8","author":"bakaev","year":"1963","journal-title":"Radiotekh Elektron"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1201\/9781351011853"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2016.07.971"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2870-5"},{"journal-title":"CMOS Fractional-N Synthesizers Design for High Spectral Purity and Monolithic Integration","year":"2003","author":"de muer","key":"ref13"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2004.824064"},{"journal-title":"Frequency Synthesis by Phase Lock","year":"1981","author":"egan","key":"ref15"},{"journal-title":"Phase-Lock Basics","year":"1998","author":"egan","key":"ref16"},{"journal-title":"Frequency Synthesis by Phase Lock","year":"2000","author":"egan","key":"ref17"},{"article-title":"Phase lock acquisition for sampled data PLL’s using the sweep technique","year":"1986","author":"aguirre","key":"ref18"},{"journal-title":"PLL Performance Simulation and Design","year":"2003","author":"banerjee","key":"ref19"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2016.08.003"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/0471654507.eme312"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2015.09.272"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/0471732699"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1002\/9780470178737"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.23919\/ECC51009.2020.9143726"},{"journal-title":"Phase-Locked Loops Design Simulation and Application","year":"2007","author":"best","key":"ref5"},{"journal-title":"Acquisition and tracking behavior of phase-locked loops","year":"1959","author":"viterbi","key":"ref8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2015.2476295"},{"journal-title":"Fazovaya Avtopodstroika Chastoty (in Russian)","year":"1966","author":"shakhgil\u2019dyan","key":"ref2"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2015.09.274"},{"journal-title":"Principles of Coherent Communications","year":"1966","author":"viterbi","key":"ref1"},{"journal-title":"PLL Performance Simulation and Design","year":"2006","author":"banerjee","key":"ref20"},{"key":"ref45","article-title":"Stability of charge-pump phase-locked loops: The hold-in and pull-in ranges","author":"kuznetsov","year":"2020","journal-title":"Proc 21st IFAC World Congr"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413300024"},{"journal-title":"Clock Generators for SOC Processors Circuits and Architecture","year":"2005","author":"fahim","key":"ref21"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1980.1094619"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1134\/S1064230720050093"},{"key":"ref41","first-page":"37","article-title":"Locking band for phase-locked loop","volume":"11","author":"kapranov","year":"1956","journal-title":"Radiofizika"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2020.1830304"},{"key":"ref44","first-page":"109","article-title":"Comments on van Paemel’s mathematical model of charge-pump phase-locked loop","author":"kuznetsov","year":"2019","journal-title":"Differencialnie Uravnenia i Protsesy Upravlenia"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2006.883205"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.cnsns.2017.03.010","article-title":"Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE","volume":"51","author":"kuznetsov","year":"2017","journal-title":"Commun Nonlin Sci Numer Simulat"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2012.2213362"}],"container-title":["IEEE Transactions on Circuits and Systems II: Express Briefs"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8920\/9387428\/09258948.pdf?arnumber=9258948","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T15:57:02Z","timestamp":1642003022000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9258948\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4]]},"references-count":45,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tcsii.2020.3038075","relation":{},"ISSN":["1549-7747","1558-3791"],"issn-type":[{"type":"print","value":"1549-7747"},{"type":"electronic","value":"1558-3791"}],"subject":[],"published":{"date-parts":[[2021,4]]}}}