非线性微分-代数系统稳定性的几个判据

Some Stability Criteria of Nonlinear Differential Algebraic Systems

研究非线性微分－代数系统的稳定性问题，给出利用非线性函数的偏导数矩阵判别非线性微分－代数系统平衡态稳定和不稳定的几个判据，所得结果形式简洁，易于应用．

In this paper, the stability problem of nonlinear differential algebraic systems is investigated. Some stability and unstability criteria of nonlinear differential algebraic systems are given by using the partial derivative matrices of nonlinear functions. The calculating procedure presented is straight forward and the criterions can be easily applied. At last, an example is given to illustrate the effectiveness of the algorithm.