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- W2766347148 abstract "Abstract This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters τ i i = 1, 2,..., K. The characteristic quasipolynomial of such an equation is a multilinear function of e- Tis . It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delay-per-scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong stability the exponential stability of a fixed set of rationally independent delays, and the stability for all positive delays is shown." @default.
- W2766347148 created "2017-11-10" @default.
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- W2766347148 date "2017-07-01" @default.
- W2766347148 modified "2023-09-23" @default.
- W2766347148 title "Further results on the strong stability of difference equations of continuous time * *This work is partially supported by National Science Foundation of China under Grant 61403199, the Natural Science Foundation of Jiangsu Province under Grant BK20140770, and the Fundamental Research Funds for the Central Universities of China under Grant 30916015105" @default.
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- W2766347148 doi "https://doi.org/10.1016/j.ifacol.2017.08.1332" @default.
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