{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T17:13:23Z","timestamp":1649006003194},"reference-count":15,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[1985,11,1]],"date-time":"1985-11-01T00:00:00Z","timestamp":499651200000},"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":[[1985,11]]},"DOI":"10.1016\/0005-1098(85)90045-7","type":"journal-article","created":{"date-parts":[[2003,3,14]],"date-time":"2003-03-14T13:27:27Z","timestamp":1047648447000},"page":"717-727","source":"Crossref","is-referenced-by-count":8,"title":["Asymptotic stability of nonlinear singularly perturbed systems using higher order corrections"],"prefix":"10.1016","volume":"21","author":[{"given":"K.","family":"Khorasani","sequence":"first","affiliation":[]},{"given":"M.A.","family":"Pai","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0005-1098(85)90045-7_BIB1","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1109\/TAC.1978.1101728","article-title":"Stability of large-scale non-linear systems-quadratic-order theory of composite-system method using M-matrices","volume":"AC-23","author":"Araki","year":"1978","journal-title":"IEEE Trans. Aut. Control"},{"key":"10.1016\/0005-1098(85)90045-7_BIB2","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/S0016-0032(78)90015-7","article-title":"Asymptotic stability of a class of non-linear singularly perturbed systems","volume":"305","author":"Chow","year":"1978","journal-title":"J. Franklin Inst."},{"key":"10.1016\/0005-1098(85)90045-7_BIB3","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1080\/00207178108922936","article-title":"Uniform asymptotic stability of non-linear singularly perturbed and large scale systems","volume":"33","author":"Grujic","year":"1981","journal-title":"Int. J. Control"},{"key":"10.1016\/0005-1098(85)90045-7_BIB4","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1090\/S0002-9947-1966-0194693-9","article-title":"Singular perturbation on the infinite interval","volume":"132","author":"Hoppensteadt","year":"1966","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/0005-1098(85)90045-7_BIB5","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1016\/0022-0396(74)90070-9","article-title":"Asymptotic stability in singular perturbation problem-II","volume":"15","author":"Hoppensteadt","year":"1974","journal-title":"J. Diff. Eqn."},{"key":"10.1016\/0005-1098(85)90045-7_BIB6","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1109\/TAC.1984.1103490","article-title":"Robust redesign of adaptive control","volume":"AC-29","author":"Ioannou","year":"1984","journal-title":"IEEE Trans. Aut. Control."},{"key":"10.1016\/0005-1098(85)90045-7_BIB7","first-page":"201","volume":"49","author":"Kalman","year":"1963"},{"key":"10.1016\/0005-1098(85)90045-7_BIB8","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1016\/0005-1098(81)90067-4","article-title":"Asymptotic stability of non-linear multiparameter singularly perturbed systems","volume":"17","author":"Khalil","year":"1981","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(85)90045-7_BIB9","series-title":"Ph.D. dissertation","article-title":"Stability and control of nonlinear singularly perturbed systems with applications to power systems and flexible manipulators","author":"Khorasani","year":"1985"},{"key":"10.1016\/0005-1098(85)90045-7_BIB10","first-page":"1011","article-title":"Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms","volume":"25","author":"Klimushev","year":"1962","journal-title":"PMM"},{"key":"10.1016\/0005-1098(85)90045-7_BIB11","author":"Krasovskii","year":"1963"},{"key":"10.1016\/0005-1098(85)90045-7_BIB12","series-title":"Hyperstability of control systems","author":"Popov","year":"1973"},{"key":"10.1016\/0005-1098(85)90045-7_BIB13","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1109\/TAC.1984.1103586","article-title":"Quadratic-type Lyapunov functions for singularly perturbed systems","volume":"AC-29","author":"Saberi","year":"1984","journal-title":"IEEE Trans. Aut. Control."},{"key":"10.1016\/0005-1098(85)90045-7_BIB14","first-page":"1304","volume":"143","author":"Yakubovich","year":"1962","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"10.1016\/0005-1098(85)90045-7_BIB15","author":"Yoshizawa","year":"1966"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109885900457?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109885900457?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T23:25:40Z","timestamp":1553642740000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0005109885900457"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,11]]},"references-count":15,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1985,11]]}},"alternative-id":["0005109885900457"],"URL":"https:\/\/doi.org\/10.1016\/0005-1098(85)90045-7","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[1985,11]]}}}