-stability of dynamic equations on time scales with nonregressivity.
Choi, Sung Kyu, Goo, Yoon Hoe, Koo, Namjip (2008)
Abstract and Applied Analysis
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Choi, Sung Kyu, Goo, Yoon Hoe, Koo, Namjip (2008)
Abstract and Applied Analysis
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Du, N.H., Liem, N.C., Chyan, C.J., Lin, S.W. (2011)
Journal of Inequalities and Applications [electronic only]
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Peterson, Allan C., Raffoul, Youssef N. (2005)
Advances in Difference Equations [electronic only]
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Sivasundaram, S. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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J. Auslander, P. Seibert (1964)
Annales de l'institut Fourier
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.
Sasu, Bogdan (2010)
Advances in Difference Equations [electronic only]
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Lupu, Mircea, Florea, Olivia, Lupu, Ciprian (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Merdivenci Atici, F., Guseinov, G.Sh., Kaymakçalan, B. (2000)
Journal of Inequalities and Applications [electronic only]
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Andrzej Dzielinski (2005)
International Journal of Applied Mathematics and Computer Science
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This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class...
Kaymakçalan, Billur (1992)
Journal of Applied Mathematics and Stochastic Analysis
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