Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: a Riesz basis approach
نویسندگان
چکیده
منابع مشابه
Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: a Riesz basis approach
In this paper, we study the boundary stabilizing feedback control problem of Rayleigh beams that have non-homogeneous spatial parameters. We show that no matter how non-homogeneous the Rayleigh beam is, as long as it has positive mass density, sti9ness and mass moment of inertia, it can always be exponentially stabilized when the control parameters are properly chosen. The main steps are a deta...
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A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space. 1. Introduction. The boundary feedback stab...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2004
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(03)00205-6