{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T12:21:26Z","timestamp":1730204486631,"version":"3.28.0"},"reference-count":12,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1109\/cdc.2015.7402369","type":"proceedings-article","created":{"date-parts":[[2016,2,29]],"date-time":"2016-02-29T21:32:44Z","timestamp":1456781564000},"page":"1168-1173","source":"Crossref","is-referenced-by-count":2,"title":["Necessary condition on Lyapunov functions corresponding to the globally asymptotically stable equilibrium point"],"prefix":"10.1109","author":[{"given":"Chirayu D.","family":"Athalye","sequence":"first","affiliation":[]}],"member":"263","reference":[{"journal-title":"Nonlinear Programming","year":"1999","author":"bertsekas","key":"ref4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/0471787779"},{"article-title":"Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization","year":"2000","author":"parrilo","key":"ref10"},{"journal-title":"Nonlinear Systems","year":"2002","author":"khalil","key":"ref6"},{"journal-title":"Principles of Mathematical Analysis","year":"1976","author":"rudin","key":"ref11"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2013.08.014"},{"journal-title":"Nonlinear Systems Analysis","year":"1993","author":"vidyasagar","key":"ref12"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592948"},{"key":"ref7","article-title":"Probl&#x00E9;me Generale de la Stabilit&#x00E9; du Mouvement","volume":"17","author":"lyapunov","year":"1947","journal-title":"Ann of Math Stud"},{"key":"ref2","first-page":"453","article-title":"On the stability of motion in the large","volume":"86","author":"barbashin","year":"1952","journal-title":"Dokl Akad Nauk"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2002.1184414"},{"key":"ref1","first-page":"1221","article-title":"Complete Characterization of the Set of Lyapunov Functions for the Autonomous System x = -x","author":"athalye","year":"2014","journal-title":"Proc 11th IEEE ICCA"}],"event":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","start":{"date-parts":[[2015,12,15]]},"location":"Osaka","end":{"date-parts":[[2015,12,18]]}},"container-title":["2015 54th IEEE Conference on Decision and Control (CDC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7396016\/7402066\/07402369.pdf?arnumber=7402369","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,22]],"date-time":"2017-03-22T20:48:43Z","timestamp":1490215723000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7402369\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12]]},"references-count":12,"URL":"https:\/\/doi.org\/10.1109\/cdc.2015.7402369","relation":{},"subject":[],"published":{"date-parts":[[2015,12]]}}}