Stability of Perturbed Motion

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


In this chapter, stability considerations are extended to a variety of nonlinear systems utilizing the same versatile tools, namely, Lyapunov-like functions, theory of appropriate inequalities and different measures, that were developed in the previous chapters. In order to avoid monotony, we have restricted ourselves to present only typical extensions which demonstrate the essential unity achieved and pave the way for further work.


Lyapunov Function Stability Property Trivial Solution Comparison Theorem Delay Differential Equation 
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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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