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Switching systems and periodicity

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Nonlinear Semigroups, Partial Differential Equations and Attractors

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1394))

Abstract

We consider a class of bimodal systems which alternate modes on hitting ‘switching surfaces’: the canonical model is a physical thermostat. A sufficient condition is obtained for the existence of periodic solutions. The significance for this theory of certain anomalous points on the switching surface is shown by an example with no periodic solutions. Further discussion is presented for the important case of linear switching systems, including a new existence theorem.

This research has been partially supported by the Air Force Office of Scientific Research under grants #AFOSR-87-0190 and #AFOSR-87-0350.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Maryland Baltimore County, 21228, Baltimore, MD

    Thomas I. Seidman

Authors
  1. Thomas I. Seidman
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Tepper L. Gill Woodford William Zachary

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© 1989 Springer-Verlag

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Seidman, T.I. (1989). Switching systems and periodicity. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086761

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  • DOI: https://doi.org/10.1007/BFb0086761

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51594-4

  • Online ISBN: 978-3-540-46679-6

  • eBook Packages: Springer Book Archive

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