Stability analysis of a simple rheonomic nonholonomic constrained system
Autor: | Chang Liu, Feng-Xing Mei, Shixing Liu |
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Rok vydání: | 2016 |
Předmět: |
Lyapunov function
Nonholonomic system Partial differential equation Differential equation General Physics and Astronomy Equations of motion Dynamical system 01 natural sciences Stability (probability) symbols.namesake Generalized forces Control theory 0103 physical sciences symbols 010306 general physics 010301 acoustics Mathematics |
Zdroj: | Chinese Physics B. 25:124501 |
ISSN: | 1674-1056 |
DOI: | 10.1088/1674-1056/25/12/124501 |
Popis: | 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 the aid of the Lyapunov function. The stability of the solution for a simple rheonomic nonholonomic constrained system is studied in this paper. Firstly, the differential equations of motion of the system are established. Secondly, a problem in which the generalized forces are exerted on the system such that the solution is stable is proposed. Finally, the stable solutions of the rheonomic nonholonomic system can be constructed by using the gradient systems. |
Databáze: | OpenAIRE |
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