Journal
APPLIED MATHEMATICAL MODELLING
Volume 40, Issue 4, Pages 3257-3263Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.10.021
Keywords
Distributed delay; Stability theory; Fractional; Nonlinear system
Funding
- National Natural Science Foundation of China [61304062, 61174066, 61371111, 61371112]
- Natural Science Project of Jiangsu Province Education Department [14KJB120011]
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In this paper, we study the stability of fractional nonlinear systems with distributed-delay under Caputo derivatives. We propose a novel stability theorem via establishing an extending item on the basis of the stability theorem of fractional nonlinear systems without delay, and prove the theorem by utilizing the function monotonous properties and the stability theorem of fractional linear system without delay. Analyzing and controlling some fractional nonlinear systems with distributed delay are taken as examples to illustrate the theorems. Numerical simulation results confirm the effectiveness of the proposed methods. (C) 2015 Elsevier Inc. All rights reserved.
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