On absolute stability
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.
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Displaying similar documents to “Another characterization of absolute stability”
On absolute stability
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.
Generalized practical stability results by perturbing Lyapunov functions.
Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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The structural influence of the forces of the stability of dynamical systems.
Lupu, Mircea, Florea, Olivia, Lupu, Ciprian (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Global stability of sets for systems with impulses.
G. K. Kulev, D. D. Bainov (1987)
Collectanea Mathematica
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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...
Boundedness and asymptotic stability in the large of solutions of an ordinary differential system .
Venkatesulu, M., Srinivasu, P.D.N. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Stability modulo singular sets
J. Iglesias, A. Portela, A. Rovella (2009)
Fundamenta Mathematicae
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A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.