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Properties of Absolute Stability in the Presence of Time Lags | Science Publications

机译:时滞存在下的绝对稳定性科学出版物

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> This study is concerned with the properties of absolute stability independent of the delays of time-delay systems, possessing non commensurate internal point delays, for any nonlinearity satisfying a Popov’s- type time positivity inequality. That property holds if an associate delay-free system is absolutely stable and the size of the delayed dynamics is sufficiently small. The results are obtained for nonlinearities belonging to sectors [0, k] and [h, k+h], and are based on a parabola test type.
机译: >对于满足Popov型时间正定性不等式的任何非线性,本研究关注的是与时滞系统的时延无关的绝对稳定性的性质,具有不相称的内部点时延。如果相关联的无延迟系统绝对稳定并且延迟动力学的大小足够小,则该属性成立。对于属于扇区[0,k]和[h,k + h]的非线性获得结果,并且基于抛物线测试类型。

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