Stochastic finite-time stabilization for uncertain jump systems via state feedback / Shuping He in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 132 N° 3 (Mai 2010)  

Public ISBD [article]  inTransactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 3 (Mai 2010) . - 04 p. Titre : Stochastic finite-time stabilization for uncertain jump systems via state feedback Type de document : texte imprimé Auteurs : Shuping He, Auteur ; Fei Liu, Auteur Année de publication : 2010 Article en page(s) : 04 p. Note générale : Systèmes dynamiques Langues : Anglais (eng) Mots-clés : Linear matrix inequalities Lyapunov methods Markov processes Robust control State feedback Index. décimale : 629.8 Résumé : The stochastic finite-time stabilization problem is considered for a class of linear uncertain Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. By using the appropriate stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are proposed for the design of stochastic finite-time stabilization controller. The stabilization criteria are formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The designed finite-time stabilized controller makes the stochastic MJSs stochastic finite-time bounded and stochastic finite-time stabilizable for all admissible unknown external disturbances and uncertain parameters. Simulation results illustrate the effectiveness of the developed approaches. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...] [article] Stochastic finite-time stabilization for uncertain jump systems via state feedback [texte imprimé] / Shuping He, Auteur ; Fei Liu, Auteur . - 2010 . - 04 p. Systèmes dynamiques Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 3 (Mai 2010) . - 04 p. Mots-clés : Linear matrix inequalities Lyapunov methods Markov processes Robust control State feedback Index. décimale : 629.8 Résumé : The stochastic finite-time stabilization problem is considered for a class of linear uncertain Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. By using the appropriate stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are proposed for the design of stochastic finite-time stabilization controller. The stabilization criteria are formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The designed finite-time stabilized controller makes the stochastic MJSs stochastic finite-time bounded and stochastic finite-time stabilizable for all admissible unknown external disturbances and uncertain parameters. Simulation results illustrate the effectiveness of the developed approaches. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...]

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