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Stability of Motion in Terms of Two Measures

  • Vangipuram Lakshmikantham
  • Srinivasa Leela
  • Anatoly A. Martynyuk
Chapter
  • 1.5k Downloads
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

This chapter is devoted essentially to the investigation of stability theory in terms of two measures. It also provides a converse theorem for uniform asymptotic stability in this set up and stresses the importance of employing families of Lyapunov-like functions and the theory of inequalities.

Keywords

Lyapunov Function Asymptotic Stability Stability Property Trivial Solution Maximal Solution 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Vangipuram Lakshmikantham
    • 1
  • Srinivasa Leela
    • 2
  • Anatoly A. Martynyuk
    • 3
  1. 1.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  2. 2.State University of New YorkGeneseoUSA
  3. 3.National Academy of Sciences of UkraineKievUkraine

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