{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T15:35:52Z","timestamp":1726846552188},"reference-count":23,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[1994,6,1]],"date-time":"1994-06-01T00:00:00Z","timestamp":770428800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Automatica"],"published-print":{"date-parts":[[1994,6]]},"DOI":"10.1016\/0005-1098(94)90195-3","type":"journal-article","created":{"date-parts":[[2003,3,14]],"date-time":"2003-03-14T08:02:52Z","timestamp":1047628972000},"page":"1015-1021","source":"Crossref","is-referenced-by-count":50,"title":["Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis"],"prefix":"10.1016","volume":"30","author":[{"given":"Wassim M.","family":"Haddad","sequence":"first","affiliation":[]},{"given":"Dennis S.","family":"Bernstein","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0005-1098(94)90195-3_BIB1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1137\/0611017","article-title":"Robust stability and performance analysis for state space systems via quadratic Lyapunov bounds","volume":"11","author":"Bernstein","year":"1990","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"10.1016\/0005-1098(94)90195-3_BIB2","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0167-6911(89)90067-4","article-title":"Robust stability for sampled-data systems","volume":"13","author":"Bernstein","year":"1989","journal-title":"Sys. Contr. Lett."},{"key":"10.1016\/0005-1098(94)90195-3_BIB3","author":"Caines","year":"1989"},{"key":"10.1016\/0005-1098(94)90195-3_BIB4","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/0167-6911(91)90065-M","article-title":"Robust stabilization with positive real uncertainty: beyond the small gain theorem","volume":"17","author":"Haddad","year":"1991","journal-title":"Syst. Contr. Lett."},{"key":"10.1016\/0005-1098(94)90195-3_BIB5_1","series-title":"Proc. IEEE Conf. Dec. Contr.","first-page":"2274","article-title":"Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis, part 1 and 2","author":"Haddad","year":"1991"},{"key":"10.1016\/0005-1098(94)90195-3_BIB5_2","series-title":"Proc. IEEE Conf. Dec. Contr.","first-page":"2632","article-title":"Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis, part 1 and 2","author":"Haddad","year":"1991"},{"key":"10.1016\/0005-1098(94)90195-3_BIB6","series-title":"Proc. Amer. Contr. Conf.","first-page":"594","article-title":"Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis and synthesis","author":"Haddad","year":"1992"},{"key":"10.1016\/0005-1098(94)90195-3_BIB7","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1002\/rnc.4590030403","article-title":"Explicit construction of quadratic Lyapunov function for the small gain, positivity, circle, and Popov theorems and their application to robust stability, part I; continuous-time theory; part II: discrete-time theory","volume":"3","author":"Haddad","year":"1993","journal-title":"Int. J. Robust and Nonlinear Control"},{"key":"10.1016\/0005-1098(94)90195-3_BIB8","article-title":"Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis","volume":"39","author":"Haddad","year":"1994","journal-title":"IEEE Trans. Autom. Contr."},{"key":"10.1016\/0005-1098(94)90195-3_BIB9","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0167-6911(91)90011-3","article-title":"Mixed-norm H2H\u221e regulation and estimation: the discrete-time case","volume":"16","author":"Haddad","year":"1991","journal-title":"Sys. Contr. Lett."},{"key":"10.1016\/0005-1098(94)90195-3_BIB10","doi-asserted-by":"crossref","first-page":"776","DOI":"10.1109\/9.277246","article-title":"Robust stability and performance via fixed-order dynamic compensation: the discrete-time case","volume":"38","author":"Haddad","year":"1993","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/0005-1098(94)90195-3_BIB11","first-page":"153","article-title":"Discrete positive-real functions and their application to system stability","volume":"116","author":"Hitz","year":"1969"},{"key":"10.1016\/0005-1098(94)90195-3_BIB12","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1109\/TAC.1964.1105622","article-title":"On the stability of a certain class of nonlinear sampled-data systems","volume":"AC-9","author":"Jury","year":"1964","journal-title":"IEEE Trans. Autom. Contr."},{"key":"10.1016\/0005-1098(94)90195-3_BIB13","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1109\/TAC.1964.1105734","article-title":"On the absolute stability of nonlinear sampled-data systems","volume":"AC-9","author":"Jury","year":"1964","journal-title":"IEEE Trans. Autom. Contr."},{"key":"10.1016\/0005-1098(94)90195-3_BIB14","first-page":"388","article-title":"Sur la stabilit\u00e9 d'un syst\u00e8me d'\u00e9quations aux diff\u00e9rences finies","author":"Kalman","year":"1963","journal-title":"CR Acad. Sci."},{"key":"10.1016\/0005-1098(94)90195-3_BIB15","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1137\/0306040","article-title":"Stability analysis of nonlinear and time-varying discrete-systems","volume":"6","author":"Narendra","year":"1968","journal-title":"SIAM J. Contr."},{"key":"10.1016\/0005-1098(94)90195-3_BIB16","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1109\/TAI.1964.5407770","article-title":"On the asymptotic stability of a class of saturating sampled-data systems","volume":"83","author":"Pearson","year":"1964","journal-title":"IEEE Trans. Appl. Ind."},{"key":"10.1016\/0005-1098(94)90195-3_BIB17","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1016\/0016-0032(73)90193-2","article-title":"Algebraic criteria for positive realness relative to the unit circle","volume":"295","author":"Siljak","year":"1973","journal-title":"J. Franklin Inst."},{"key":"10.1016\/0005-1098(94)90195-3_BIB18","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1002\/zamm.19710510404","article-title":"Exponential absolute stability of discrete systems","volume":"51","author":"Siljak","year":"1971","journal-title":"ZAMM"},{"key":"10.1016\/0005-1098(94)90195-3_BIB19","first-page":"558","article-title":"On the absolute stability of sampled-data control systems","volume":"49","author":"Szego","year":"1963"},{"key":"10.1016\/0005-1098(94)90195-3_BIB20","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1109\/TAC.1964.1105653","article-title":"On the absolute stability of sampled-data systems the indirect control case","volume":"AC-9","author":"Szego","year":"1964","journal-title":"IEEE Trans. Autom. Contr."},{"key":"10.1016\/0005-1098(94)90195-3_BIB21","first-page":"263","article-title":"A criterion for absolute stability of automatic pulse systems with monotonic characteristics of the nonlinear element","volume":"9","author":"Tsypkin","year":"1964","journal-title":"Sov. Phys.-Doklady"},{"key":"10.1016\/0005-1098(94)90195-3_BIB22","author":"Wonham","year":"1979"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109894901953?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109894901953?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T18:55:14Z","timestamp":1553626514000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0005109894901953"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,6]]},"references-count":23,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1994,6]]}},"alternative-id":["0005109894901953"],"URL":"https:\/\/doi.org\/10.1016\/0005-1098(94)90195-3","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[1994,6]]}}}