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On the Boundary Control of a Hybrid System with Variable Coefficients

Author

Listed:
  • B.Z. Guo

    (Institute of Systems Science)

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.

Suggested Citation

  • B.Z. Guo, 2002. "On the Boundary Control of a Hybrid System with Variable Coefficients," Journal of Optimization Theory and Applications, Springer, vol. 114(2), pages 373-395, August.
    • Handle: RePEc:spr:joptap:v:114:y:2002:i:2:d:10.1023_a:1016039819069
    DOI: 10.1023/A:1016039819069
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