Some Results on Liapunov Functions and Generated Dynamical Systems,

Abstract

This paper presents several results pertaining to the use of lower semicontinuous Liapunov functions in the analysis of autonomous abstract evolution equations. Such functions can be useful in setting up a nonlinear dynamical system that need not satisfy any exponential estimate, as well as in locating positive invariant sets of the resulting dynamical system. Other results concern the computation of the derivative of a lower semicontinuous Liapunov function, the use of such a function to assure precompactness of positive orbits, and a version of the Invariance Principle that is valid for lower semicontinuous Liapunov functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 08, 1977
Accession Number
ADA046446

Entities

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  • J. A. Walker

Organizations

  • Brown University

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  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Computations
  • Continuity
  • Convex Sets
  • Differential Equations
  • Engineering
  • Equations
  • Invariance
  • Mechanical Engineering
  • New York
  • Nuclear Reactors
  • Partial Differential Equations
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  • Perturbation Theory
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  • Mathematics

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