| Title: |
On contraction of nonlinear difference equations with time-varying delays |
| Authors: |
PHA Ngoc; Hieu Trinh; LT Hieu; ND Huy |
| Publication Year: |
2019 |
| Subject Terms: |
Electrical engineering not elsewhere classified; Manufacturing engineering not elsewhere classified; Mechanical engineering not elsewhere classified; Pure mathematics not elsewhere classified; Science & Technology; Physical Sciences; Mathematics; contraction; difference equation; exponential stability; periodic solution; GLOBAL EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; DISCRETE; EXISTENCE; School of Engineering; 4901 Applied mathematics |
| Description: |
General nonlinear difference equations with time-varying delays are considered. Explicit criteria for contraction of such equations are presented. Then some simple sufficient conditions for global exponential stability of equilibria and for stability of invariant sets are derived. Furthermore, explicit criteria for existence, uniqueness and global exponential stability of periodic solutions are derived. Finally, the obtained results are applied to time-varying discrete-time neural networks with delay. |
| Document Type: |
article in journal/newspaper |
| Language: |
unknown |
| Relation: |
http://hdl.handle.net/10536/DRO/DU:30117990 |
| Availability: |
http://hdl.handle.net/10536/DRO/DU:30117990; https://figshare.com/articles/journal_contribution/On_contraction_of_nonlinear_difference_equations_with_time-varying_delays/20782366 |
| Rights: |
All Rights Reserved |
| Accession Number: |
edsbas.B5F13B69 |
| Database: |
BASE |