Stability analysis of a simple rheonomic nonholonomic constrained system

• Published in: Chinese physics B Vol. 25; no. 12; pp. 314 - 317
• Main Author: 刘畅 刘世兴 梅凤翔
• Format: Journal Article
• Language: English
• Published: 01.12.2016
• Subjects: Lyapunov函数; 梯度系统; 稳定性分析; 稳定性问题; 运动微分方程; 非完整力学系统; 非完整系统; 非完整约束系统

It is a difficult problem to study the stability of the rheonomic and nonholonomic mechanical systems. Especially it is difficult to construct the Lyapunov function directly from the differential equation. But the gradient system is exactly suitable to study the stability of a dynamical system with...