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Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues

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Abstract

For first-order quasilinear hyperbolic systems with zero eigenvalues, the author establishes the local exact controllability in a shorter time-period by means of internal controls acting on suitable domains. In particular, under certain special but reasonable hypotheses, the local exact controllability can be realized only by internal controls, and the control time can be arbitrarily small.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Kaili Zhuang

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  1. Kaili Zhuang
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Correspondence to Kaili Zhuang.

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Zhuang, K. Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues. Chin. Ann. Math. Ser. B 37, 503–514 (2016). https://doi.org/10.1007/s11401-016-0974-4

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  • DOI: https://doi.org/10.1007/s11401-016-0974-4

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