کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
697463 | 890371 | 2011 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Diagonal stability of stochastic systems subject to nonlinear disturbances and diagonal H2H2 norms Diagonal stability of stochastic systems subject to nonlinear disturbances and diagonal H2H2 norms](/preview/png/697463.png)
A known result in the stability theory of stochastic systems with nonlinear Lipschitz-bounded noise intensity states that the robust stability radius of such a stochastic system is equal to the inverse of the H2H2 norm of its ‘noise-to-output’ transfer function. This paper extends this result to the case where one is interested in the diagonal stability of the system under consideration. This problem arises naturally when studying large-scale interconnected systems subject to random perturbations, as one is often interested in using diagonal or block-diagonal Lyapunov functions for such plants. The main result of the paper is the characterization of the diagonal stochastic stability radius, which is similar to the mentioned result for non-diagonal stability.
Journal: Automatica - Volume 47, Issue 7, July 2011, Pages 1427–1434