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- W1966359610 abstract "This note points out the fact that a linear oscillator in an infinite dimensional Hilbert space, with no uniform decay rate, cannot be given a uniform decay rate with compact linear feedback. The motivation for the analysis here is the use of a finite number of control elements to stabilize a system with an infinite number of modes of vibration, and the implications of the inability to produce a uniform decay rate are elaborated in regard to optimal regulation. For systems with and without inherent damping, the result is based on approximating a compact operator with a sequence of finite dimensional operators. The physical interpretation of this technique is discussed." @default.
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- W1966359610 date "1980-05-01" @default.
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- W1966359610 title "A Note on Stabilization of Infinite Dimensional Linear Oscillators by Compact Linear Feedback" @default.
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- W1966359610 doi "https://doi.org/10.1137/0318022" @default.
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