Sigmoid-function Based Fixed-time Stability of Delayed Nonlinear Dynamic Systems
Abstract
This paper investigates fixed-time stability of delayed nonlinear dynamic systems. At first, by designing an inequality with sigmoid-function, a new kind of fixed-time stability lemma is constructed. Then, as an application, the new proposed lemma is applied to discuss fixed-time stabilization(FT) for a kind of delayed neural networks. At last, simulations are also given to show the effectiveness of the derived results.
Fields of Study & Subjects
Neural Networks Stability and Synchronization
Adaptive Dynamic Programming Control
Adaptive Control of Nonlinear Systems
Publication details
- Journal / source
- Journal of Nonlinear Dynamics and Applications
- Publisher
- Institute of Central Computation and Knowledge Inc.
- Volume
- 2
- Issue
- 1
- Pages
- 13–19
- Publication date
- 27 February 2026