Two kinds of generalized gradient representations for holonomic mechanical systems

Feng Xiang Mei; Hui Bin Wu

doi:10.1088/1674-1056/25/1/014502

Two kinds of generalized gradient representations for holonomic mechanical systems

Feng Xiang Mei, Hui Bin Wu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results.

Original language	English
Article number	014502
Journal	Chinese Physics B
Volume	25
Issue number	1
DOIs	https://doi.org/10.1088/1674-1056/25/1/014502
Publication status	Published - 30 Nov 2015

Keywords

Lyapunov function
generalized gradient system
holonomic mechanical system
stability

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10.1088/1674-1056/25/1/014502

Cite this

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title = "Two kinds of generalized gradient representations for holonomic mechanical systems",

abstract = "Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results.",

keywords = "Lyapunov function, generalized gradient system, holonomic mechanical system, stability",

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AU - Wu, Hui Bin

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AB - Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results.

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KW - stability

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Two kinds of generalized gradient representations for holonomic mechanical systems

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Keywords

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