New Method for the Stability Analysis of Neutral Systems with Time-Varying Structured Uncertainties
| Autor: | Jun Shu, Dengfeng Xiao, Xianwu Mi, Dajiang He, Fazhong Hou, Ding Liming, Chen Leiping |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Wirtinger inequality Matrix (mathematics) 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Applied mathematics Symmetric matrix 020201 artificial intelligence & image processing 02 engineering and technology Derivative Neutral systems Stability (probability) Mathematics |
| Zdroj: | 2018 37th Chinese Control Conference (CCC). |
| DOI: | 10.23919/chicc.2018.8484094 |
| Popis: | This study investigates the delay-dependent stability problem for neutral systems with mixed delays. Different from previous works, this paper employs the free-weighting matrix(FWM) approach and integral inequality approach to estimate the derivative of LKF together. Firstly, a new integral inequality based the Wirtinger inequality is proposed. This improved inequality is right used to cope with the terms $\int_{b}^{a}\dot{x}(s)ds$ which are generated by using the free-weighting matrix approach. Then, by integrating the newly integral inequality with free-weighting matrix approach, some less conservative stability criteria are derived. Numerical examples demonstrate the effectiveness of the method and its advantage over existing methods. |
| Databáze: | OpenAIRE |
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