基于软组织的一种四阶微分方程零解稳定性

Zero-Solution Stability of a Fourth-Order Differential Equation Based on Soft Tissue

本文主要讨论由软组织模型得到的一种四阶非线性微分方程零解的稳定性,通过使用能量度量算法构造该方程的Lyapunov函数,进而给出方程零解的稳定性的充分条件。

In this paper, we mainly discuss the stability of the zero solution of a fourth-order nonlinear differ-ential equation obtained from the soft tissue model. By using the energy metric algorithm, we con-struct the Lyapunov function of the equation, and then give the sufficient conditions for the stability of the zero solution.