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Ukrainian Mathematical Journal

, Volume 57, Issue 2, pp 232–249 | Cite as

Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone

  • A. G. Mazko
Article
  • 32 Downloads

Abstract

We investigate classes of dynamical systems in a partially ordered space with properties of monotonicity type with respect to specified cones. We propose new methods for the stability analysis and comparison of solutions of differential systems using time-varying cones. To illustrate the results obtained, we present examples using typical cones in vector and matrix spaces.

Keywords

Dynamical System Stability Analysis Differential System Typical Cone Matrix Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • A. G. Mazko
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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