|A Novel Stability Criterion of Time-varying delay Fractional-order Financial Systems Based a New Functional Transformation Lemma
Zhe Zhang*, Jing Zhang, Fanyong Cheng, and Feng Liu
International Journal of Control, Automation, and Systems, vol. 17, no. 4, pp.916-925, 2019
Abstract : "This paper puts forward a novel stability criterion of all cases of the time-delay fractional-order financial
systems(FFS) including FFS without time delay, FFS with constant time delay and FFS with time-varying delay.
This novel stability criterion is mainly based on a new stability judgment method which contains the deduction
of Wirtinger inequality, Integral mean value theorem, fractional-order Lyapunov method, and a new functional
transformation lemma which we deduced. This new functional transformation lemma simplifies the structure of
the novel stability criterion with fewer constraints. Thus, compared with the previous stability criterion of FFS, the
novel stability criterion of FFS has clearer structure and lower conservatism. Moreover, the novel stability criterion
of FFS can also satisfy all fractional-order operators from 0 to 1. Last but not least, some numerical simulation
examples are provided to verify the effectiveness and the benefit of the proposed novel stability criterion of FFS."
Financial system, stability analysis, stability criterion, time-varying delay.