Exponential Stability and Robust H∞ Control for Discrete-Time Time-Delay Infinite Markov Jump Systems
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, exponential stability and robust H∞ control problem are investigated for a class of discrete-time time-delay stochastic systems with infinite Markov jump and multiplicative noises.
The jumping parameters are modeled as an infinite-state Markov chain.
By using a novel Lyapunov-Krasovskii functional, a new sufficient condition in terms of matrix inequalities is derived to guarantee the mean square exponential stability of the equilibrium point.
Then some sufficient conditions for the existence of feedback controller are presented to guarantee that the resulting closed-loop system has mean square exponential stability for the zero exogenous disturbance and satisfies a prescribed H∞ performance level.
Numerical simulations are exploited to validate the applicability of developed theoretical results.
American Psychological Association (APA)
Liu, Yueying& Hou, Ting. 2018. Exponential Stability and Robust H∞ Control for Discrete-Time Time-Delay Infinite Markov Jump Systems. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152522
Modern Language Association (MLA)
Liu, Yueying& Hou, Ting. Exponential Stability and Robust H∞ Control for Discrete-Time Time-Delay Infinite Markov Jump Systems. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1152522
American Medical Association (AMA)
Liu, Yueying& Hou, Ting. Exponential Stability and Robust H∞ Control for Discrete-Time Time-Delay Infinite Markov Jump Systems. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152522
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152522