Properties of Absolute Stability in the Presence of Time Lags
M. De la Sen, J. L. Malaina, A. Gallego & J. C. Soto
American Journal of Applied Sciences, Volume 2, Issue 10, pp. 1456–1463 · doi.org/10.3844/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.
Licence and reuse
Free to read. This article carries the publisher’s copyright, as printed on it: © 2005 Science Publications. It is free to read; ask us before reusing it.
How to reuse this articleResponses (0)
About this article
De la Sen, M., Malaina, J. L., Gallego, A. & Soto, J. C. (2005). Properties of Absolute Stability in the Presence of Time Lags. American Journal of Applied Sciences, 2(10), 1456–1463. https://doi.org/10.3844/ajassp.2005.1456.1463
- Licence
- © Science Publications
- Issue
- Volume 2, Issue 10
- Policies
- Editorial independenceUse of generative AIData availabilityAppeals and complaints
- Version
- Version of record