Sufficient conditions for uniform exponential stability and h-stability of some classes of dynamic equations on arbitrary time scales
AuthorsBen Nasser, Bacem
Hammami, Mohamed Ali
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Bioscience Research Center (CBRC)
Online Publication Date2018-11-21
Print Publication Date2019-05
Permanent link to this recordhttp://hdl.handle.net/10754/630656
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AbstractThis paper investigates the exponential stability and h-stability problems of some classes of nonlinear systems. First, we analyze the global uniform exponential stability for a class of integro-differential equations on time scales. We also derive some sufficient conditions for stability using an integral inequality approach. Then, we give an analysis of the h-stability of some classes of linear systems under Lipschitz-type disturbances. To this end, some h-stability criteria are established. Finally, numerical examples are proposed to illustrate the stability concepts.
CitationBen Nasser B, Boukerrioua K, Defoort M, Djemai M, Hammami MA, et al. (2019) Sufficient conditions for uniform exponential stability and h-stability of some classes of dynamic equations on arbitrary time scales. Nonlinear Analysis: Hybrid Systems 32: 54–64. Available: http://dx.doi.org/10.1016/j.nahs.2018.10.009.
SponsorsResearch reported in this publication has been supported by the King Abdullah University of Science and Technology (KAUST), Saudi Arabia. Also, this work has been supported by the European Community, the Regional Delegation for Research and Technology, the Haut de France Region, France and the National Center for Scientific Research, France under the projects ELSAT VUMOPE and the UVHC BI-CFNes.