New Results on Exponential Convergence of Globally Projected Dynamic Systems

Abstract

This paper further analyzes and improves the exponential convergence of the dynamic system proposed by Friesz et al., whose equilibria solve variational inequalities. Four sufficient conditions are provided to ensure the exponential convergence of this system. Meanwhile this system is also proved to be stable and convergent under the weaker pseudo-monotonicity of the mapping. Theoretical analysis and illustrative examples show that some obtained results improve the existing ones.