期刊
SCIENCE CHINA-INFORMATION SCIENCES
卷 63, 期 3, 页码 -出版社
SCIENCE PRESS
DOI: 10.1007/s11432-019-9946-6
关键词
global Mittag-Leffler stability; fractional-order; coupled system; connectedness
资金
- National Natural Science Foundation of China [61873071]
- Shandong Provincial Natural Science Foundation [ZR2019MF027]
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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