Convergence Analysis of Genetic Regulatory Networks Based on Nonlinear Measures

摘要

In this paper, we propose a nonlinear 2-measure concept, and using it, together with the nonlinear 1-measure proposed earlier by other researchers, to analyze the global convergence of genetic regular tory networks. Two sufficient conditions are derived to ensure globally exponentially convergence of solutions of the networks. The derived conditions provide insight into the dynamical behavior of gene networks.