Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters

In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L-infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters. First, the stochastic time-varying neutral systems are described by a series of st...

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Main Authors: Yin, YanYan, Liu, F., Shi, Y.
Format: Journal Article
Published: 2012
Online Access:http://hdl.handle.net/20.500.11937/52711
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author Yin, YanYan
Liu, F.
Shi, Y.
author_facet Yin, YanYan
Liu, F.
Shi, Y.
author_sort Yin, YanYan
building Curtin Institutional Repository
collection Online Access
description In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L-infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters. First, the stochastic time-varying neutral systems are described by a series of stochastic time-constant systems at some selected time points, then based on stochastic Lyapunov-Krasovskii functional approach, a new globally exponentially stochastically stabilizable criterion is derived for each of the jumping system by means of linear matrix inequalities. Subsequently, L-two-L-infinity filtering systems are designed for such linear jump systems. Finally, continuous gain-scheduled approach is employed to design time-varying filter systems for the whole working region. A simulation example shows the effectiveness and potential of the developed techniques. © 2012 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:52:48Z
publishDate 2012
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spelling curtin-20.500.11937-527112017-09-13T15:40:22Z Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters Yin, YanYan Liu, F. Shi, Y. In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L-infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters. First, the stochastic time-varying neutral systems are described by a series of stochastic time-constant systems at some selected time points, then based on stochastic Lyapunov-Krasovskii functional approach, a new globally exponentially stochastically stabilizable criterion is derived for each of the jumping system by means of linear matrix inequalities. Subsequently, L-two-L-infinity filtering systems are designed for such linear jump systems. Finally, continuous gain-scheduled approach is employed to design time-varying filter systems for the whole working region. A simulation example shows the effectiveness and potential of the developed techniques. © 2012 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg. 2012 Journal Article http://hdl.handle.net/20.500.11937/52711 10.1007/s11768-012-8136-z restricted
spellingShingle Yin, YanYan
Liu, F.
Shi, Y.
Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters
title Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters
title_full Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters
title_fullStr Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters
title_full_unstemmed Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters
title_short Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parameters
title_sort gain scheduled l-two-l-infinity filtering for neutral systems with jumping and time-varying parameters
url http://hdl.handle.net/20.500.11937/52711