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On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We are interested in the exponential stability of the descriptor system, which is composed of the slow and fast subsystems with time-varying delay.
In computing a kind of Lyapunov functional, we employ a necessary number of slack matrices to render the balance and to yield the convexity condition for reducing the conservatism and dealing with the case of time-varying delay.
Therefore, we can get the decay rate of the slow variables.
Moreover, we characterize the effect of the fast subsystem on the derived decay rate and then prove the fast variables to decay exponentially through a perturbation approach.
Finally, we provide an example to demonstrate the effectiveness of the method.
American Psychological Association (APA)
Cong, S.& Sheng, Z.-B.. 2011. On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993352
Modern Language Association (MLA)
Cong, S.& Sheng, Z.-B.. On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-993352
American Medical Association (AMA)
Cong, S.& Sheng, Z.-B.. On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993352
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993352