On the Boundary Control of a Hybrid System with Variable Coefficients |
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Authors: | Guo BZ |
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Institution: | (1) Academy of Mathematics and System Sciences, Academia Sinica, Institute of Systems Science, Beijing, 100080, PRC |
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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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Keywords: | beam equations variable coefficients stability controllability observability |
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