运用多项式稳定性充分判据，将线性系统的同时镇定问题转化成非线性不等式组的求解。

In this paper, the simultaneous stabilization problem of linear systems is transformed into solving problems of a set of nonlinear inequalities by using a sufficient criterion of polynomial stability.

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采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。

In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.

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以周期非线性光学介质中隙孤子存在的条件为依据，数学计算分析得到两组参量关系不等式。

Based on the conditions of the gap soliton in periodical nonlinear optical medium, two inequalities for relation of parameters are obtained.

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