Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Bioscience Research Center (CBRC)
Online Publication Date2018-08-31
Print Publication Date2018
Permanent link to this recordhttp://hdl.handle.net/10754/630553
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AbstractIn 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.
CitationBen Nasser B, Defoort M, Djemai M, Laleg-Kirati T-M (2018) Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales. IFAC-PapersOnLine 51: 121–126. Available: http://dx.doi.org/10.1016/j.ifacol.2018.08.021.
SponsorsResearch 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.