A novel approach to exponential stability of nonlinear systems with time-varying delays

Authors:
Song Xueli;Peng Jigen
Affiliations:
Department of Mathematics and Information Science, Chang'an University, Xi'an 710064, China;Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 4
Cited 1

Original Contribution: Associative memory with nonmonotone dynamics

Neural Networks
Stability of perturbed systems with time-varying delays

Systems & Control Letters
A new approach to stability of neural networks with time-varying delays

Neural Networks
Stability of linear time-varying delay systems and applications to control problems

Journal of Computational and Applied Mathematics

Original article: Observations on evolutionary models with (or without) time lag, and on problematical paradigms

Mathematics and Computers in Simulation

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper, the stability of nonlinear systems with time-varying delays is investigated by means of the concepts of generalized Dahlquist constant, generalized relative Dahlquist constant and relative minimal Lipschitz constant. In detail, two sufficient conditions are derived for the exponential stability of nonlinear systems with time-varying delays and the exponential decay of the solutions is also estimated. Compared with some existing results, our stability conditions are less conservative. Some examples are given to illustrate the effectiveness of the obtained results.