![](/images/graphics-bg.png)
Resilient L2-L∞ Filtering of Uncertain Markovian Jumping Systems within the Finite-Time Interval
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper studies the resilient L2-L∞ filtering problem for a class of uncertain Markovian jumping systems within the finite-time interval.
The objective is to design such a resilient filter that the finite-time L2-L∞ gain from the unknown input to an estimation error is minimized or guaranteed to be less than or equal to a prescribed value.
Based on the selected Lyapunov-Krasovskii functional, sufficient conditions are obtained for the existence of the desired resilient L2-L∞ filter which also guarantees the stochastic finite-time boundedness of the filtering error dynamic systems.
In terms of linear matrix inequalities (LMIs) techniques, the sufficient condition on the existence of finite-time resilient L2-L∞ filter is presented and proved.
The filter matrices can be solved directly by using the existing LMIs optimization techniques.
A numerical example is given at last to illustrate the effectiveness of the proposed approach.
American Psychological Association (APA)
He, Shuping. 2013. Resilient L2-L∞ Filtering of Uncertain Markovian Jumping Systems within the Finite-Time Interval. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498381
Modern Language Association (MLA)
He, Shuping. Resilient L2-L∞ Filtering of Uncertain Markovian Jumping Systems within the Finite-Time Interval. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-498381
American Medical Association (AMA)
He, Shuping. Resilient L2-L∞ Filtering of Uncertain Markovian Jumping Systems within the Finite-Time Interval. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498381
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498381