Stability Radii for Innnite Dimensional Systems with Stochastic Uncertainty
Stability Radii for Innnite Dimensional Systems with Stochastic Uncertainty
复制标题
具有随机不确定性的无限维系统的稳定半径
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
A. Pritchard
中科院分区：
文献类型：
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作者：
D. Hinrichsen;A. Pritchard
我们考虑实Hilbert空间上的线性确定性系统，该系统受到任意数目(N)的随机、结构化的Lipschitzian扰动。定义了稳定性半径，并通过一族有界算子范数的N参数极小化完全刻画了稳定性半径。这与稳定性半径由函数决定，而相应的N参数最优化只产生一个上界的确定情况相反。
We consider linear deterministic systems on real Hilbert spaces which are subjected to a nite number (N) of stochastic, structured, Lipschitzian perturbations. A stability radius is deened and is completely characterized via an N-parameter minimization of the norm of a family of bounded operators. This is in contrast to the determin-istic case where the stability radius is determined by the-function and the corresponding N-parameter optimisa-tion only yields an upper bound.