## Abstract and Applied Analysis

### Reliable Control for Uncertain Singular Systems with Randomly Occurring Time-Varying Delay and Actuator Faults

#### Abstract

The problem of reliable control is investigated for uncertain continuous singular systems with randomly occurring time-varying delay and actuator faults in this work. The delay occurs in a random way, and such randomly occurring delay obeys certain mutually uncorrelated Bernoulli distributed white noise sequences. The uncertainties under consideration are norm-bounded, and may vary with time. Then, with the constructed Lyapunov function, a sufficient condition is given to ensure the unforced system is mean-square exponentially stable and the corresponding controller can be derived from such condition, and the actuator faults problem is guaranteed. A numerical example is provided to show the effectiveness of the methods.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2015), Article ID 238692, 11 pages.

Dates
First available in Project Euclid: 15 June 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1434398628

Digital Object Identifier
doi:10.1155/2015/238692

Mathematical Reviews number (MathSciNet)
MR3339664

Zentralblatt MATH identifier
1350.93083

#### Citation

Li, Yu-Lin; Li, Lin-Sheng; Zhao, Zhi-Cheng; Zhang, Jing-Gang. Reliable Control for Uncertain Singular Systems with Randomly Occurring Time-Varying Delay and Actuator Faults. Abstr. Appl. Anal. 2015, Special Issue (2015), Article ID 238692, 11 pages. doi:10.1155/2015/238692. https://projecteuclid.org/euclid.aaa/1434398628

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