On the boundary control of a hybrid system with variable coefficients

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...

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Veröffentlicht in:	Journal of optimization theory and applications 2002-08, Vol.114 (2), p.373-395
1. Verfasser:	GUO, B. Z
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Boundary conditions Closed loop systems Computer science control theory systems Control system analysis Control theory. Systems Eigenvalues Exact sciences and technology Fundamental areas of phenomenology (including applications) Hilbert space Laboratories Ordinary differential equations Partial differential equations Physics Solid mechanics Strain gauges Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves
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Zusammenfassung:	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.
ISSN:	0022-3239 1573-2878
DOI:	10.1023/A:1016039819069