Abstract

In this paper, the global asymptotic stability of both the closed economy system and the open economy system is investigated under impulse control, and the obtained stability criteria improve the existing results in the previous literature, generalizing the stabilization from the closed economy system to the open economy system, and stabilizing the unstable equilibrium point with positive interest rate. Particularly, stability of the equilibrium point with positive interest rate is suitable for the open economic market of China, for the interest rates during different periods in China’s financial market are always some of positive percentages. Finally, numerical examples illustrate the effectiveness of the proposed methods.

Details

Title
Impulsive control on delayed feedback chaotic financial system with Markovian jumping
Author
Rao Ruofeng 1   VIAFID ORCID Logo  ; Zhong Shouming 2 

1  Chengdu Normal University, Department of Mathematics, Chengdu, China (GRID:grid.453300.1) (ISNI:0000 0001 0496 6791); Chengdu Normal University, Institute of Financial Mathematics, Chengdu, China (GRID:grid.453300.1) (ISNI:0000 0001 0496 6791) 
2  University of Electronic Science and Technology of China, College of Mathematics, Chengdu, China (GRID:grid.54549.39) (ISNI:0000 0004 0369 4060); Chengdu Normal University, Institute of Financial Mathematics, Chengdu, China (GRID:grid.453300.1) (ISNI:0000 0001 0496 6791) 
Publication year
2020
Publication date
Jan 2020
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-020-2524-3
ProQuest document ID
2348735784
Copyright
Advances in Difference Equations is a copyright of Springer, (2020). All Rights Reserved. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.