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Source Identification for Parabolic Equations

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Mathematics of Control, Signals and Systems Aims and scope Submit manuscript

Abstract

This paper treats an inverse problem of source identification in systems modeled by partial differential equations of parabolic type. Regularization procedures and recursive estimation algorithms are developed to estimate the location and the intensity of the source.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Oakland University, Rochester, 000, 48309, Michigan, U.S.A.

    Irina F. Sivergina

  2. Department of Electrical and Systems Engineering, Oakland University, Rochester, 000, 48309-4478, Michigan, U.S.A.

    Michael P. Polis

  3. Scientific Research Laboratory, Ford Motor Co., Dearborn, 000, 48124, Michigan, U.S.A.

    Ilya Kolmanovsky

Authors
  1. Irina F. Sivergina
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  2. Michael P. Polis
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  3. Ilya Kolmanovsky
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Corresponding authors

Correspondence to Irina F. Sivergina, Michael P. Polis or Ilya Kolmanovsky.

Additional information

Date received: December 1, 2001. Date revised: October 2002.

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Sivergina, I.F., Polis, M.P. & Kolmanovsky, I. Source Identification for Parabolic Equations. Math. Control Signals Systems 16, 141–157 (2003). https://doi.org/10.1007/s00498-003-0136-6

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  • DOI: https://doi.org/10.1007/s00498-003-0136-6

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