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Sufficient and necessary conditions for globally stability of the trivial solutions of Genetic Regulator Networks with mixed time-delays

In the paper, the globally stability for Genetic Regulator Networks with mixed time-delays is studied. By using derivative mean value theorem, two sufficient and necessary conditions for globally unformly asymptotic stability and global exponential stability of the trivial solutions of the GRNs with mixed time-delays are proposed. Finally, a simple example is given to demonstrate the correctness of the proposed results.