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

American Journal of Applied Sciences

M. De la Sen¹  J. C. Soto¹  J. L. Malaina¹  A. Gallego¹ 

关键词: Absolute stability;    dynamic systems;    nonlinear feedback;    time-delay systems;   

DOI  :  10.3844/ajassp.2005.1456.1463

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown