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Existence of solutions of Riccati differential equations / Sinan Kilicaslan in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 134 N° 3 (Mai 2012) 

Public ISBD [article]  in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 134 N° 3 (Mai 2012) . - 11 p. Titre : Existence of solutions of Riccati differential equations Type de document : texte imprimé Auteurs : Sinan Kilicaslan, Auteur ; Stephen P. Banks, Auteur Année de publication : 2012 Article en page(s) : 11 p. Note générale : Dynamic systems Langues : Anglais (eng) Mots-clés : Riccati  differential  equation  Linear  systems  Nonlinear  systems Index. décimale : 629.8 Résumé : A necessary condition for the existence of the solution of the Riccati differential equation for both linear, time varying systems and nonlinear systems is introduced. First, a necessary condition for the existence of the solution of the Riccati differential equation for linear, time varying systems is proposed. Then, the sufficient conditions to satisfy the necessary condition are given. After that, the existence of the solution of the Riccati differential equation is generalized for nonlinear systems. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000134000003 [...] [article] Existence of solutions of Riccati differential equations [texte imprimé] / Sinan Kilicaslan, Auteur ; Stephen P. Banks, Auteur . - 2012 . - 11 p. Dynamic systems Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 134 N° 3 (Mai 2012) . - 11 p. Mots-clés : Riccati  differential  equation  Linear  systems  Nonlinear  systems Index. décimale : 629.8 Résumé : A necessary condition for the existence of the solution of the Riccati differential equation for both linear, time varying systems and nonlinear systems is introduced. First, a necessary condition for the existence of the solution of the Riccati differential equation for linear, time varying systems is proposed. Then, the sufficient conditions to satisfy the necessary condition are given. After that, the existence of the solution of the Riccati differential equation is generalized for nonlinear systems. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000134000003 [...]