Generalized gradient representation of holonomic mechanical systems

Ge Wei-Kuan, Xue Yun, Lou Zhi-Mei
2014 Wuli xuebao  
A gradient system is generalized to a system in which the time appears in the potential function, and the system is called generalized gradient system. The condition under which a holonomic mechanical system can be considered as a generalized gradient system is given. If the potential function of the system can be considered as a Lyapunov function, then the Lyapunov theorems can be used to study the stability of the system.
doi:10.7498/aps.63.110202 fatcat:pjbbti45ozawxiivdpo4ebuzz4