-smoothness of invariant fiber bundles for dynamic equations on measure chains.
Pötzsche, Christian, Siegmund, Stefan (2004)
Advances in Difference Equations [electronic only]
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Pötzsche, Christian, Siegmund, Stefan (2004)
Advances in Difference Equations [electronic only]
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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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Roger C. McCann (1972)
Annales de l'institut Fourier
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Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.
Choi, Sung Kyu, Im, Dong Man, Koo, Namjip (2008)
Advances in Difference Equations [electronic only]
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Sivasundaram, S. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Choi, Sung Kyu, Goo, Yoon Hoe, Koo, Namjip (2008)
Abstract and Applied Analysis
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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...
Sasu, Bogdan (2010)
Advances in Difference Equations [electronic only]
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Leela, S. (1997)
Memoirs on Differential Equations and Mathematical Physics
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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.