@article {10.3844/ajassp.2005.1456.1463, article_type = {journal}, title = {Properties of Absolute Stability in the Presence of Time Lags}, author = {De la Sen, M. and Malaina, J. L. and Gallego, A. and Soto, J. C.}, volume = {2}, year = {2005}, month = {Oct}, pages = {1456-1463}, doi = {10.3844/ajassp.2005.1456.1463}, url = {https://thescipub.com/abstract/ajassp.2005.1456.1463}, abstract = {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.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }