Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes

Joint Authors

Cheng, Jun
Dong, Xiucheng
Zhong, Shouming
Zeng, Yong

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-05-26

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the problem of delay-dependent finite-time H∞ filtering for Markovian jump systems with different system modes.

By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our results, a novel sufficient condition for finite-time boundness with an H∞ performance index is derived.

Particularly, two different Markov processes have been considered for modeling the randomness of system matrix and the state delay.

Based on the derived condition, the H∞ filtering problem is solved, and an explicit expression of the desired filter is also given; the system trajectory stays within a prescribed bound during a specified time interval.

Finally, a numerical example is given to illustrate the effectiveness and the potential of the proposed techniques.

American Psychological Association (APA)

Zeng, Yong& Cheng, Jun& Zhong, Shouming& Dong, Xiucheng. 2013. Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-458980

Modern Language Association (MLA)

Zeng, Yong…[et al.]. Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-458980

American Medical Association (AMA)

Zeng, Yong& Cheng, Jun& Zhong, Shouming& Dong, Xiucheng. Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-458980

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-458980