TY - JOUR
T1 - Sufficient conditions for uniform exponential stability and h-stability of some classes of dynamic equations on arbitrary time scales
AU - Ben Nasser, Bacem
AU - Boukerrioua, Khaled
AU - Defoort, Michael
AU - Djemai, Mohamed
AU - Hammami, Mohamed Ali
AU - Laleg-Kirati, Taous Meriem
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/5
Y1 - 2019/5
N2 - This 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.
AB - This 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.
KW - Dynamic equations on time scales
KW - Exponential stability
KW - Time scale integral inequalities
KW - h-stability
UR - http://www.scopus.com/inward/record.url?scp=85056895217&partnerID=8YFLogxK
U2 - 10.1016/j.nahs.2018.10.009
DO - 10.1016/j.nahs.2018.10.009
M3 - Article
AN - SCOPUS:85056895217
SN - 1751-570X
VL - 32
SP - 54
EP - 64
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
ER -