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New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper.
Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria.
By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds.
The numerical example is presented to illustrate the applicability of the developed results.
It was shown that the obtained results are less conservative than some existing ones in the literature.
American Psychological Association (APA)
Stojanovic, Sreten B.. 2015. New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1060525
Modern Language Association (MLA)
Stojanovic, Sreten B.. New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1060525
American Medical Association (AMA)
Stojanovic, Sreten B.. New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1060525
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060525