Robust Stochastic Stabilization and H∞ Control for Neutral Stochastic Systems with Distributed Delays

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Qiu, Jiqing, He, Haikuo and Shi, Peng (2011) Robust Stochastic Stabilization and H∞ Control for Neutral Stochastic Systems with Distributed Delays. Circuits, Systems and Signal Processing, 30 (2). pp. 287-301. ISSN 0278-081X

Abstract

This paper considers the problem of robust stabilization and H∞ control for a class of uncertain neutral stochastic systems, in which delay is distributed and the parametric uncertainties are norm-bounded. By designing a state feedback controller, we obtain a delay-dependent criterion such that the resulting closed-loop system is robustly stochastically asymptotically stable in the mean square and the effect of the disturbance input on the controlled output is less than a prescribed level for all admissible parameter uncertainties. New sufficient conditions are presented based on the linear matrix inequality approach. Finally, numerical examples are used to illustrate the effectiveness and feasibility of the approaches proposed in this paper.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/7484
DOI	10.1007/s00034-010-9222-4
Official URL	http://dx.doi.org/10.1007/s00034-010-9222-4
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0802 Computation Theory and Mathematics Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Keywords	ResPubID20008, delay-dependent, neutral stochastic systems, distributed delays, H∞ control
Citations in Scopus	14 - View on Scopus
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