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

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Document pages: 13 pages

Abstract: Robust stability problem of integral delay systems with uncertain kernelmatrix functions is addressed in this paper. On the basis of characteristicequation and the argument principle, an algorithm is generated which is shownto outperform the Lyapunov-Krasovskii (LK) approaches with respect toconservatism in the presented examples. Despite the conventional manual use ofNyquist criterion, the proposed algorithm is fully algebraic, cheaper andeasily implemented in computer programs. In addition, the proposed method isapplicable to a wider range of uncertain systems compared to the existingliterature. Namely, despite the previously published results on this problem,the kernel matrix function here is not limited to exponential type and caninclude any real function within known bounds as its elements.

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