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首页> 外文期刊>International Journal of Modelling, Identification and Control >Absolute stability analysis of neutral type Lurie system with unbounded distributed delay and interval time-varying probabilistic delay
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Absolute stability analysis of neutral type Lurie system with unbounded distributed delay and interval time-varying probabilistic delay

机译：具有无界分布时滞和时​​变概率时滞的中立型Lurie系统的绝对稳定性分析

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摘要

In this paper, a novel stability criterion for the absolute stability of neutral type Lurie system with unbounded distributed and interval time-varying delay is proposed. The delay range is divided into two segments for stability analysis. The probability distribution of interval time-varying delay in the two segments is assumed to be known a priori. A tighter bounding technique is developed for the integral terms arising in the derivative of Lyapunov-Krasovskii functional (LKF). This bounding technique along with the Wirtinger inequality is used to develop the absolute stability criteria in terms of linear matrix inequalities. The proposed stability analysis has been further extended to the robust absolute stability of uncertain Lurie system of neutral type with mixed delays. The effectiveness of the proposed approach has been illustrated through numerical examples.
机译：提出了具有无穷分布和区间时变时滞的中立型Lurie系统的绝对稳定性的新稳定性判据。延迟范围分为两部分，以进行稳定性分析。假定这两个段中的间隔时变延迟的概率分布是先验的。针对在Lyapunov-Krasovskii泛函（LKF）的导数中产生的积分项，开发了更严格的边界技术。此边界技术与Wirtinger不等式一起用于根据线性矩阵不等式建立绝对稳定性标准。所提出的稳定性分析已进一步扩展到具有混合时滞的不确定中立型Lurie系统的鲁棒绝对稳定性。通过数值示例说明了该方法的有效性。

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