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• W4378975486 abstract "This paper proposes new inequality-based functions to be Lyapunov functionals for the stability analysis of time-varying delay systems. The novel Lyapunov functionals are developed using a slack-matrices-based integral inequality for the first time. This is unlike most inequality-based functions that have been used as Lyapunov functionals which consist of single-matrices in their integral terms. Based on the new Lyapunov functionals, a new stability criterion is derived in the form of a matrix-valued quadratic function, which is proven to be negative definite using a geometry-based negativeness lemma. Two numerical examples showcase the effectiveness of our presented method." @default.
• W4378975486 created "2023-06-02" @default.
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• W4378975486 date "2023-08-01" @default.
• W4378975486 modified "2023-10-16" @default.
• W4378975486 title "Novel inequality-based functions for the stability of time-varying delay systems" @default.
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• W4378975486 doi "https://doi.org/10.1016/j.jfranklin.2023.05.033" @default.
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