时滞基因调控网络的全局渐进稳定性分析

针对一类时滞基因调控网络的全局渐进稳定性进行了研究, 利用Lyapunov泛函、线性矩阵不等式（LMIs）和自由权值矩阵（free-weighting matrices）技术, 得到了一些新的时滞相关的基因调控网络稳定性充分条件。通过在Lyapunov泛函中使用辅助矩阵E, 并对调控函数条件一般化, 取得的结果具有较少的保守型和更广的适用性。该结果为人工设计基因芯片提供一定的参考作用。仿真示例进一步验证了结论的有效性。

Further analysis on global asymptotical stability of geneticregulatory networks with time delays

The global asymptotical stability analysis for genetic regulatory networks with time delays is concerned. By using Lyapunov functional theorem, employing some free-weighting matrices, this paper presented some new delay-dependent stability criteria in terms of linear matrix inequalities (LMIs) to guarantee the delayed genetic regulatory networks to be asymptotically stable. By using the auxiliary matrix E and defining a more general regulatory function, it obtained the less conservative stability criterion which had more wider application range. The results can provide some reference for the design of gene chip. Experimental results demonstrate the usefulness of the main results and less conservativeness of the proposed method.