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

H. Taghavian

International Journal of Systems Science, 2021, vol. 52, issue 11, 2298-2310

Abstract: Robust stability problem of integral delay systems with uncertain kernel matrix functions is addressed in this paper. On the basis of the 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 the Nyquist criterion, the proposed algorithm is fully algebraic, cheaper and easily implemented in computer programs. The kernel matrix function in this method is not limited to the exponential type and can include any bounded real function as its elements.

Date: 2021
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DOI: 10.1080/00207721.2021.1883146

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