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Exact Internal Controllability

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Synchronization for Wave Equations with Locally Distributed Controls

Part of the book series: Series in Contemporary Mathematics ((SCMA,volume 5))

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Abstract

In this chapter, we show that system (I) possesses the exact controllability if and only if \({{\,\textrm{rank}\,}}(D)= N\), namely, under N internal controls.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, Shanghai, China

    Tatsien Li

  2. Institut de Recherche Mathématique Avancée, University of Strasbourg, Strasbourg, France

    Bopeng Rao

Authors
  1. Tatsien Li
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  2. Bopeng Rao
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Correspondence to Tatsien Li .

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Li, T., Rao, B. (2024). Exact Internal Controllability. In: Synchronization for Wave Equations with Locally Distributed Controls. Series in Contemporary Mathematics, vol 5. Springer, Singapore. https://doi.org/10.1007/978-981-97-0992-2_7

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