Around Problem 8.2: Image Extension of a Diffeomorphism

  • Pauline BernardEmail author
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 479)


In this chapter, we study how a diffeomorphism can be extended to make its image cover the whole space, namely to make it surjective. In some cases, the construction of the extension is explicit and is illustrated on examples. In particular, this extension enables to guarantee the completeness of solutions to a high-gain observer written in the initial coordinates for a bioreactor.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Electrical, Electronic, and Information Engineering “Guglielmo Marconi”University of BolognaBolognaItaly

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