System performance and efficiency depends on the stability criteria. The lower limb prosthetic model design requires some prerequisites such as hardware design functionality and compatibility of the building block materials. Effective implementation of mathematical model simulation symmetry towards the achievement of hardware design is the focus of the present work. Different postures of lower limb have been considered in this paper to be analyzed for artificial system design of lower limb movement. The generated polynomial equations of the sitting and standing positions of the normal limb are represented with overall system transfer function. The behavioral analysis of the lower limb model shows the nonlinear nature. The Euler-Lagrange method is utilized to describe the nonlinearity in the field of forward dynamics of the artificial system. The stability factor through phase portrait analysis is checked with respect to nonlinear system characteristics of the lower limb. The asymptotic stability has been achieved utilizing the most applicable Lyapunov method for nonlinear systems. The stability checking of the proposed artificial lower extremity is the newer approach needed to take decisions on output implementation in the system design.

中文翻译：

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有效实施人工下肢的非线性系统稳定性和行为分析

系统性能和效率取决于稳定性标准。下肢假肢模型设计需要一些先决条件，例如硬件设计功能和积木材料的兼容性。有效实现数学模型仿真对称性以实现硬件设计是当前工作的重点。本文考虑了下肢的不同姿势，对下肢运动的人工系统设计进行了分析。生成的正常肢体坐位和站立位的多项式方程用整体系统传递函数表示。下肢模型的行为分析显示出非线性特性。利用欧拉-拉格朗日方法来描述人工系统前向动力学领域的非线性。针对下肢的非线性系统特性，通过相图分析来检查稳定性因子。利用最适用于非线性系统的李雅普诺夫方法已经实现了渐近稳定性。建议的人工下肢的稳定性检查是在系统设计中对输出实现做出决策所需的较新方法。