{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:13:51Z","timestamp":1773252831701,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2008,4,9]],"date-time":"2008-04-09T00:00:00Z","timestamp":1207699200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Control Signals Syst."],"published-print":{"date-parts":[[2008,6]]},"DOI":"10.1007\/s00498-008-0024-1","type":"journal-article","created":{"date-parts":[[2008,4,8]],"date-time":"2008-04-08T08:59:35Z","timestamp":1207645175000},"page":"135-156","source":"Crossref","is-referenced-by-count":26,"title":["Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases"],"prefix":"10.1007","volume":"20","author":[{"given":"Antoine","family":"Chaillet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yacine","family":"Chitour","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio","family":"Lor\u00eda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mario","family":"Sigalotti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,4,9]]},"reference":[{"key":"24_CR1","doi-asserted-by":"crossref","first-page":"968","DOI":"10.1109\/9.701102","volume":"43","author":"D Aeyels","year":"1998","unstructured":"Aeyels D, Peuteman J (1998) A new asymptotic stability criterion for nonlinear time-variant differential equations. IEEE Trans Automat Control 43: 968\u2013971","journal-title":"IEEE Trans Automat Control"},{"key":"24_CR2","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1016\/S0005-1098(99)00012-6","volume":"35","author":"D Aeyels","year":"1999","unstructured":"Aeyels D, Peuteman J (1999) On exponential stability of nonlinear time-varying differential equations. Automatica J IFAC 35: 1091\u20131100","journal-title":"Automatica J IFAC"},{"key":"24_CR3","first-page":"715","volume":"30","author":"D Aeyels","year":"1994","unstructured":"Aeyels D, Sepulchre R (1994) On the convergence of a time-variant linear differential equation arising in identification. Kybernetika 30: 715\u2013723","journal-title":"Kybernetika"},{"key":"24_CR4","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1109\/TAC.1977.1101406","volume":"22","author":"BDO Anderson","year":"1977","unstructured":"Anderson BDO (1977) Exponential stability of linear equations arising in adaptive identification. IEEE Trans Automat Control 22: 83\u201388","journal-title":"IEEE Trans Automat Control"},{"key":"24_CR5","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1137\/S0363012900382837","volume":"41","author":"U Boscain","year":"2002","unstructured":"Boscain U (2002) Stability of planar switched systems: the linear single input case. SIAM J Control Optim 41: 89\u2013112","journal-title":"SIAM J Control Optim"},{"key":"24_CR6","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1109\/9.664150","volume":"43","author":"MS Branicky","year":"1998","unstructured":"Branicky MS (1998) Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans Automat Control 43: 475\u2013482","journal-title":"IEEE Trans Automat Control"},{"key":"24_CR7","unstructured":"Brezis H (1983) Analyse fonctionnelle, Th\u00e9orie et applications. Collection Math\u00e9matiques Appliqu\u00e9es pour la Ma\u00eetrise, Masson"},{"key":"24_CR8","doi-asserted-by":"crossref","unstructured":"Colaneri P, Geromel JC, Astolfi A (2005) Stabilization of continuous-time nonlinear switched systems. In: Proc 44th IEEE conf decision contr (Sevilla, Spain)","DOI":"10.1109\/CDC.2005.1582672"},{"key":"24_CR9","unstructured":"Gihman II (1952) Concerning a theorem of N. N. Bogolyubov (Russian). Ukrain Mat \u017d 4: 215\u2013219"},{"key":"24_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0017-8","volume-title":"Switching in systems and control. Systems and control: foundations and applications","author":"D Liberzon","year":"2003","unstructured":"Liberzon D (2003) Switching in systems and control. Systems and control: foundations and applications. Birkh\u00e4user, Boston"},{"key":"24_CR11","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1137\/S0363012996237378","volume":"37","author":"W Liu","year":"1999","unstructured":"Liu W, Sussmann HJ (1999) Continuous dependence with respect to the input of trajectories of control-affine systems. SIAM J Control Optim 37: 777\u2013803","journal-title":"SIAM J Control Optim"},{"key":"24_CR12","doi-asserted-by":"crossref","unstructured":"Lor\u00eda A, Chaillet A, Besancon G, Chitour Y (2005) On the PE stabilization of time-varying systems: open questions and preliminary answers. In: Proc 44th IEEE conf decision contr (Sevilla, Spain), pp 6847\u20136852","DOI":"10.1109\/CDC.2005.1583263"},{"key":"24_CR13","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1137\/0315013","volume":"15","author":"AP Morgan","year":"1977","unstructured":"Morgan AP, Narendra KS (1977) On the stability of nonautonomous differential equations $${\\dot{x} = [A + B(t)]x}$$ with skew-symmetric matrix B(t). SIAM J Control Optim 15: 163\u2013176","journal-title":"SIAM J Control Optim"},{"key":"24_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-66693-3","volume-title":"Integrals and operators","author":"IE Segal","year":"1978","unstructured":"Segal IE, Kunze RA (1978) Integrals and operators. Springer, Berlin"},{"key":"24_CR15","doi-asserted-by":"crossref","unstructured":"Shorten R, Wirth F, Mason O, Wulff K, King C (2007) Stability criteria for switched and hybrid systems. SIAM Revi (to appear)","DOI":"10.1137\/05063516X"},{"key":"24_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0577-7","volume-title":"Mathematical control theory: deterministic finite dimensional systems","author":"E Sontag","year":"1998","unstructured":"Sontag E (1998) Mathematical control theory: deterministic finite dimensional systems. Springer, New York"},{"key":"24_CR17","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/S0167-6911(99)00039-0","volume":"37","author":"AR Teel","year":"1999","unstructured":"Teel AR, Peuteman J, Aeyels D (1999) Semi-global practical stability and averaging. Systems Control Lett 37: 329\u2013334","journal-title":"Systems Control Lett"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00498-008-0024-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00498-008-0024-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00498-008-0024-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T21:37:59Z","timestamp":1559079479000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00498-008-0024-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,4,9]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,6]]}},"alternative-id":["24"],"URL":"https:\/\/doi.org\/10.1007\/s00498-008-0024-1","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,4,9]]}}}