TY - JOUR
T1 - Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales
AU - Ben Nasser, Bacem
AU - Defoort, Michael
AU - Djemai, Mohamed
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Research reported in this publication has been supported by the King Abdullah University of Science and Techology (KAUST). Also, this work has been supported by the European Community, the Regional Delegation for Research and Technology, the Haut de France Region and the National Center for Scientific Research under the projects ELSAT VUMOPE and the UVHCBI-CFNes.
PY - 2018/8/31
Y1 - 2018/8/31
N2 - In this work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results.
AB - In this work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results.
UR - http://hdl.handle.net/10754/630553
UR - https://www.sciencedirect.com/science/article/pii/S2405896318311340
UR - http://www.scopus.com/inward/record.url?scp=85052642587&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2018.08.021
DO - 10.1016/j.ifacol.2018.08.021
M3 - Article
AN - SCOPUS:85052642587
VL - 51
SP - 121
EP - 126
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8963
IS - 16
ER -