Improved Stabilization Criteria for Neutral Time-Delay Systems-Reference-Cited by-同舟云学术

Improved Stabilization Criteria for Neutral Time-Delay Systems

Published:2016 Issue: Volume:2016 Page:1-13
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Xiong Lianglin¹²^ORCID,Zhang Haiyang¹³^ORCID,Li Yongkun²,Liu Zixin⁴

Affiliation:

1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China

2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China

3. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China

4. School of Mathematics and Statistics, GuiZhou University of Finance and Economics, Guiyang 550025, China

Abstract

This paper addresses the stabilization conditions for neutral systems with mixed time delays. By constructing a novel class of Lyapunov functionals which contains an augmented Lyapunov functional, using a new class of improved Jensen’s like inequalities, two improved delay-dependent stability criteria are firstly established. Next, state feedback controllers are designed according to the stability conditions in different cases. Finally, five numerical examples are provided to demonstrate the theoretical results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2016/8682543.pdf

Reference36 articles.

1. Delay-dependent stability and H ∞ control: Constant and time-varying delays

2. New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems

3. Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems

4. Improved mixed‐delay‐dependent asymptotic stability criteria for neutral systems

5. On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach

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