Absolute Stability of General Systems

  • P. M. Salzberg
Part of the NATO Conference Series book series (NATOCS, volume 5)


In a fundamental paper, J. Auslander and P. Seibert made an exhaustive study of prolongations in the sense of T. Ura (Cf. [12] and [13]) and their connection with the second method of Liapunov [2]. The context was that of a dynamical system on a locally compact metric space. Ever since, and with varying success, attempts to improve these results have been made in different directions. A noteworthy contribution is due to O. Hájek [4], who extended the characterization of absolute stability given in [2], to the case of closed sets in a paracompact locally compact space endowed with a dynamical system.


Topological Space Ordinal Number Absolute Stability Transitive Relation Liapunov Function 
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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • P. M. Salzberg
    • 1
  1. 1.Departamento de MatemáticasUniversidad Simon BolívarCaracasVenezuela

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