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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Displaying similar documents to “Construction of a smooth Lyapunov function for an asymptotically stable set”
Stability of periodic solutions of first-order difference equations lying between lower and upper solutions.
Global stability of sets for systems with impulses.
G. K. Kulev, D. D. Bainov (1987)
Collectanea Mathematica
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Prolongations and stability in dynamical systems
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.
Stability and asymptotic stability in impulsive semidynamical systems.
Kaul, Saroop K. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Periodic solutions of the equation
Svatopluk Fučík, Vladimír Lovicar (1975)
Časopis pro pěstování matematiky
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Stability of a class of adaptive nonlinear systems
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...