论文标题

使用一般间隔内核对整体延迟系统进行稳健稳定性分析的系统方法

A systematic approach towards robust stability analysis of integral delay systems with general interval kernels

论文作者

Taghavian, Hamed

论文摘要

本文解决了具有不确定内核矩阵功能的整体延迟系统的稳健稳定性问题。在特征方程和论证原理的基础上,生成了一种算法,该算法表现出优于lyapunov-krasovskii(LK)在提出的示例中与保守主义相对于保守主义的方法。尽管传统的手动使用了Nyquist标准,但所提出的算法在计算机程序中是完全代数,便宜且易于实现的。此外,与现有文献相比,提出的方法适用于更广泛的不确定系统。也就是说,尽管先前在此问题上发表了结果,但此处的内核矩阵函数不仅限于指数类型,并且可以在已知范围内包含任何实际函数。

Robust stability problem of integral delay systems with uncertain kernel matrix functions is addressed in this paper. On the basis of characteristic equation and the argument principle, an algorithm is generated which is shown to outperform the Lyapunov-Krasovskii (LK) approaches with respect to conservatism in the presented examples. Despite the conventional manual use of Nyquist criterion, the proposed algorithm is fully algebraic, cheaper and easily implemented in computer programs. In addition, the proposed method is applicable to a wider range of uncertain systems compared to the existing literature. Namely, despite the previously published results on this problem, the kernel matrix function here is not limited to exponential type and can include any real function within known bounds as its elements.

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