Perspectives in Control Theory pp 315-340 | Cite as

# Why Real Analyticity is Important in Control Theory

Chapter

## 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
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