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Systems Not Stabilizable by Continuous Feedback

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Switching in Systems and Control

Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

Abstract

Some systems cannot be globally asymptotically stabilized by smooth (or even continuous) feedback. This is not simply a lack of controllability. It might happen that, while every state can be steered to the origin by some control law, these control laws cannot be patched together in a continuous fashion to yield a globally defined stabilizing feedback. In this section we discuss how this situation can occur.

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© 2003 Springer Science+Business Media New York

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Liberzon, D. (2003). Systems Not Stabilizable by Continuous Feedback. In: Switching in Systems and Control. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0017-8_4

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  • DOI: https://doi.org/10.1007/978-1-4612-0017-8_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6574-0

  • Online ISBN: 978-1-4612-0017-8

  • eBook Packages: Springer Book Archive

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