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On The Practical Stabilization of Dynamical Systems With Application
Mohamed Ali HammamiMOHAMEDALI.HAMMAMI@FSS.RNU.TNDepartment of MathematicsFaculty of Sciences of SfaxB.P 1171University of Sfax Road of SoukraSfax, 3000, Tunishia0000-0002-9347-4525View full profile →
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- Received:
- 10 Dec 2014
- Accepted:
- 07 Mar 2015
- Published Online:
- 02 Jun 2015
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2015.1029332
- Pages:
- 51–70
Abstract
In this paper, we investigate the problem of exponential stabilization of a class of nonlinear time varying systems. We use Lyapunov techniques to obtain exponential stability of the system in closed-loop with a controller in presence of nonlinear perturbation. The convergence of solutions are in the sense that they converge to a small neighborhood of the origin. An application to a D-C motor is given.
Keywords
Subject Classifications
: 34K2039A1149K4037C28
References
- A.Ben Abdallah, I.Ellouze and M. A.Hammami, , Vol. 15 , No. 1 , ( 2009 ) 45 - 62 .
- A.Ben Abdallah and I.Ellouze, M. A.Hammami, , Vol. 13 , No. 3 , ( 2011 ) 445 - 448
- A.Ben Abdallah, M.Dlala, M.A.Hammami, , Vol. 56 , No. 3 , ( 2007 ) 179 - 187 .
- A.Chaillet, A.Loria, , Vol. 42 , ( 2006 ) 1899 - 1906 .
- M.Corless, G.Leitmann, ., Vol 26 , No. 5 , ( 1981 ) 1139 - 1143 .
- M.A.Hammami, M.Zribi and J.Kallel, , Vol. 23 , No. 1 , ( 2013 ) 79 - 92 .
- H.K.Khalil, , 2nd edition Mac-Millan , ( 1996 ).
- I.Konstantopoulos and P.Antsaklis, , Vol. 31 , No. 6 , ( 1995 ) 623 - 636 .
- E.Lee, L.Markus, , John Wiley , New York, ( 1967 ).
- A.G.Soldatos, M.Corless, , Vol. 1 , ( 1991 ) 227 - 238 .
- Z.Qu, , Vol. 18 , ( 1992 ) 301 - 307 .
- P.Niamsup, V.N.Phat, , No. 11 , ( 2000 ) 1 - 17 .
- V.Yu.Slyusarchuk, , Vol. 62 , N ( 2010 ) 970 - 981 .
- J.Wang and X.Li, , Vol. 9 , No. 3 , ( 2011 ) 315 - 327 .
- J.Zabczyk, , Bikhauser , Berlin, 1992 .
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