TY  - JOUR
AU  - De la Sen, M. 
AU  - Malaina, J. L. 
AU  - Gallego, A. 
AU  - Soto, J. C. 
PY  - 2005
TI  - Properties of Absolute Stability in the Presence of Time Lags
JF  - American Journal of Applied Sciences
VL  - 2
IS  - 10
DO  - 10.3844/ajassp.2005.1456.1463
UR  - https://thescipub.com/abstract/ajassp.2005.1456.1463
AB  - 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.