TY - JOUR
T1 - Impulsively fractional-order time-delayed gene regulatory networks
T2 - Existence and asymptotic stability
AU - Arjunan, M. Mallika
AU - Abdeljawad, Thabet
AU - Pratap, A.
AU - Yousef, Ali
N1 - Publisher Copyright:
© 2023 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd.
PY - 2024/5
Y1 - 2024/5
N2 - This paper presents asymptotic stability criteria for fractional-order gene regulatory networks (FOGRNs) with impulses, time delays, and two numerical cases to illustrate the applicability of the results. The established system's boundedness, existence, and uniqueness are discussed using the Mittag–Leffler function, homeomorphism theory, and Cauchy–Schwartz inequality. The delay-independent asymptotic stability criteria for FOGRNs are derived using algebraic and LMI methods, famous inequality techniques, and Lyapunov stability theory.
AB - This paper presents asymptotic stability criteria for fractional-order gene regulatory networks (FOGRNs) with impulses, time delays, and two numerical cases to illustrate the applicability of the results. The established system's boundedness, existence, and uniqueness are discussed using the Mittag–Leffler function, homeomorphism theory, and Cauchy–Schwartz inequality. The delay-independent asymptotic stability criteria for FOGRNs are derived using algebraic and LMI methods, famous inequality techniques, and Lyapunov stability theory.
KW - asymptotic stability
KW - boundedness
KW - existence and uniqueness
KW - fractional delay systems
KW - gene regulatory networks
KW - impulsive conditions
UR - http://www.scopus.com/inward/record.url?scp=85178229849&partnerID=8YFLogxK
U2 - 10.1002/asjc.3269
DO - 10.1002/asjc.3269
M3 - Article
AN - SCOPUS:85178229849
SN - 1561-8625
VL - 26
SP - 1165
EP - 1177
JO - Asian Journal of Control
JF - Asian Journal of Control
IS - 3
ER -