Why Real Analyticity is Important in Control Theory

  • H. J. Sussmann
Part of the Progress in Systems and Control Theory book series (PSCT, volume 2)

Abstract

In the recent development of nonlinear control theory, properties of real analytic functions and maps, and their associated classes of sets —i.e. analytic, semianalytic and subanalytic sets— have come to play an increasingly important role. The purpose of this survey is to explain why this is so, by outlining some results where analyticity matters, and by giving general reasons why it ought to matter.

Keywords

Integral Manifold Analytic Manifold Minimal Realization Smooth Vector Field Accessibility Property 
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 New York 1990

Authors and Affiliations

  • H. J. Sussmann
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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