Journal
SCIENCE CHINA-INFORMATION SCIENCES
Volume 63, Issue 3, Pages -Publisher
SCIENCE PRESS
DOI: 10.1007/s11432-019-9946-6
Keywords
global Mittag-Leffler stability; fractional-order; coupled system; connectedness
Funding
- National Natural Science Foundation of China [61873071]
- Shandong Provincial Natural Science Foundation [ZR2019MF027]
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This study investigates the global Mittag-Leffler stability (MLS) problem of the equilibrium point for a new fractional-order coupled system (FOCS) on a network without strong connectedness. In particular, an integer-order coupled system is extended into the FOCS on a complex network without strong connectedness. Based on the theory of asymptotically autonomous systems and graph theory, sufficient conditions are derived to ensure the existence, uniqueness, and global MLS of the solutions of this FOCS on a network. Finally, a numerical example is provided to demonstrate the validity and potential of the proposed method for studying the MLS of FOCSs.
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