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Stability

  • Paul A. Fuhrmann
Chapter
  • 3.3k Downloads
Part of the Universitext book series (UTX)

Abstract

The formalization of mathematical stability theory is generally traced to the classic paper Maxwell (1868). The problem is this: given a system of linear time-invariant, differential (or difference) equations, find a characterization for the asymptotic stability of all solutions. This problem reduces to finding conditions on a given polynomial that guarantee that all its zeros, i.e., roots, lie in the open left half-plane (or open unit disk).

Keywords

Open Left Half Plane Open Unit Disk Asymptotic Stability Hermite-Biehler Theorem Algebraic Stability Criteria 
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.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Paul A. Fuhrmann
    • 1
  1. 1.Ben-Gurion University of the NegevBeer ShevaIsrael

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