具有一般区间核的积分时滞系统鲁棒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
摘要：
研究了具有不确定核矩阵函数的积分时滞系统的鲁棒稳定性问题。在特征方程和幅角原理的基础上，生成了一个算法，该算法在保守性方面优于Lyapunov-Krasovskii（LK）方法。尽管传统的人工使用的奈奎斯特准则，所提出的算法是完全代数，廉价，易于实现的计算机程序。此外，所提出的方法是适用于更广泛的不确定系统相比，现有的文献。也就是说，尽管以前发表的结果在这个问题上，核矩阵函数在这里不限于指数型，可以包括任何已知的边界内的实函数作为其元素。
英文摘要：
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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