An improved delay-dependent stability criterion for a class of Lur'e systems of neutral type / K. Ramakrishnan in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 134 N° 1 (Janvier 2012)  

Public ISBD [article]  inTransactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 134 N° 1 (Janvier 2012) . - 06 p. Titre : An improved delay-dependent stability criterion for a class of Lur'e systems of neutral type Type de document : texte imprimé Auteurs : K. Ramakrishnan, Auteur ; G. Ray, Auteur Année de publication : 2012 Article en page(s) : 06 p. Note générale : Dynamic systems Langues : Anglais (eng) Mots-clés : Chua's circuit Delay systems Linear matrix inequalities Nonlinear control Stability criteria Time-varying Résumé : In this paper, we consider the problem of delay-dependent stability of a class of Lur'e systems of neutral type with time-varying delays and sector-bounded nonlinearity using Lyapunov–Krasovskii (LK) functional approach. By using a candidate LK functional in the stability analysis, a less conservative absolute stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional, conservatism in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional without neglecting any useful terms using minimal number of slack matrix variables. The proposed analysis, subsequently, yields a stability criterion in convex LMI framework, and is solved nonconservatively at boundary conditions using standard LMI solvers. The effectiveness of the proposed criterion is demonstrated through a standard numerical example and Chua's circuit. DEWEY : 553 ISSN : 0022-0434 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000134000001 [...] [article] An improved delay-dependent stability criterion for a class of Lur'e systems of neutral type [texte imprimé] / K. Ramakrishnan, Auteur ; G. Ray, Auteur . - 2012 . - 06 p. Dynamic systems Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 134 N° 1 (Janvier 2012) . - 06 p. Mots-clés : Chua's circuit Delay systems Linear matrix inequalities Nonlinear control Stability criteria Time-varying Résumé : In this paper, we consider the problem of delay-dependent stability of a class of Lur'e systems of neutral type with time-varying delays and sector-bounded nonlinearity using Lyapunov–Krasovskii (LK) functional approach. By using a candidate LK functional in the stability analysis, a less conservative absolute stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional, conservatism in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional without neglecting any useful terms using minimal number of slack matrix variables. The proposed analysis, subsequently, yields a stability criterion in convex LMI framework, and is solved nonconservatively at boundary conditions using standard LMI solvers. The effectiveness of the proposed criterion is demonstrated through a standard numerical example and Chua's circuit. DEWEY : 553 ISSN : 0022-0434 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000134000001 [...]

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