Stability of periodic solutions of first-order difference equations lying between lower and upper solutions.
Cabada, Alberto, Otero-Espinar, Victoria, Rodríguez-Vivero, Dolores (2005)
Advances in Difference Equations [electronic only]
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Cabada, Alberto, Otero-Espinar, Victoria, Rodríguez-Vivero, Dolores (2005)
Advances in Difference Equations [electronic only]
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G. K. Kulev, D. D. Bainov (1987)
Collectanea Mathematica
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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.
Kaul, Saroop K. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Svatopluk Fučík, Vladimír Lovicar (1975)
Časopis pro pěstování matematiky
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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...