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On the Boundary Control of a Hybrid System with Variable Coefficients

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Abstract

A model of the spacecraft control laboratory experiment with variable coefficients is considered. It is shown that the closed-loop system under boundary feedback damping has a sequence of generalized eigenfunctions, which form a Riesz basis for the state Hilbert space. The spectrum-determined growth condition, the exponential stability, and an asymptotic expression of the spectrum are obtained. Moreover, the exact controllability and exact observability of the system are also presented.

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Authors and Affiliations

  1. Academy of Mathematics and System Sciences, Academia Sinica, Institute of Systems Science, Beijing, 100080, PRC

    B.Z. Guo (Professor)

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  1. B.Z. Guo
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Guo, B. On the Boundary Control of a Hybrid System with Variable Coefficients. Journal of Optimization Theory and Applications 114, 373–395 (2002). https://doi.org/10.1023/A:1016039819069

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  • DOI: https://doi.org/10.1023/A:1016039819069

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