Asymptotic Properties of Input-Output Operators Norm Associated with Singularly Perturbed Systems with Multiplicative White Noise

Peng Shi, Vasile Dragan, Toader Morozan

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

Crynodeb

In this paper, we study the problem of the asymptotic property of the norm of input-output operators related to a class of singularly perturbed stochastic linear systems. The system is under perturbation of multiplicative white noise. By using reduction order and boundary layer techniques, it is shown that the norm of the operator of the perturbed system is less than a given number ? when the small perturbation e tends to zero if both the related norms of the reduced subsystem and the boundary layer subsystem are less than ?. Furthermore, a stabilizing robust controller is designed, which is independent of perturbation e.
Iaith wreiddiolSaesneg
Tudalennau (o-i)141 - 163
Nifer y tudalennau22
CyfnodolynSIAM Journal of Control and Optimization
Cyfrol41
Rhif cyhoeddi1
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 31 Rhag 2002

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