๐”– Bobbio Scriptorium
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Absolute stability approach to stochastic stability of infinite-dimensional nonlinear systems

โœ Scribed by Vladimir A. Brusin; Valery A. Ugrinovskii


Book ID
107725023
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
733 KB
Volume
31
Category
Article
ISSN
0005-1098

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A class of linear distributed systems, subject to uncentin boundary inputs, is consider~l. It is assumed that the nominal system is exponentially stable. A nonlinear boundary controller is constructed to guarantee the exponential stabifity of the pa~urbed system. An application to a diffusion equat

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## Abstract In this paper we consider infinite dimensional systems which are subjected to stochastic structured multiperturbations. We first characterize the stability radii of these systems in terms of a Lyapunov equation and the corresponding Lyapunov inequalities. Then we investigate the problem