## Abstract and Applied Analysis

### Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay

#### Abstract

This paper deals with the absolute stability for a class of nonlinear singular systems with time delay. By employing a new Lyapunov-Krasovskii functional with the idea of partitioning delay length, improved delay-dependent stability criteria are established. The resulting condition is formulated in terms of linear matrix inequalities (LMIs), which is easy to be verified by exiting LMI optimization algorithms. A numerical example is given to show the effectiveness of the proposed technique and its improvements over the existing results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 927024, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605760

Digital Object Identifier
doi:10.1155/2014/927024

Mathematical Reviews number (MathSciNet)
MR3193559

#### Citation

Zeng, Hong-Bing; Chen, Gang; Xiao, Shen-Ping. Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 927024, 6 pages. doi:10.1155/2014/927024. https://projecteuclid.org/euclid.aaa/1412605760

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