On the Boundary Control of a Hybrid System with Variable Coefficients

B.Z. Guo
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B.Z. Guo: Institute of Systems Science

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 2, No 6, 373-395

Abstract: 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.

Keywords: beam equations; variable coefficients; stability; controllability; observability (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1016039819069

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