Journal of Applied Mathematics

On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay

S. Cong and Z.-B. Sheng

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 532912, 12 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331817306

Digital Object Identifier
doi:10.1155/2012/532912

Mathematical Reviews number (MathSciNet)
MR2861930

Zentralblatt MATH identifier
1235.93182

Citation

Cong, S.; Sheng, Z.-B. On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay. J. Appl. Math. 2012 (2012), Article ID 532912, 12 pages. doi:10.1155/2012/532912. https://projecteuclid.org/euclid.jam/1331817306


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