Finite-time stability of spring-mass system with unilateral impact constraints and frictions
| Autor: | Ruiyang Qiu, Ruihai Li |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
Statistical and Nonlinear Physics 010502 geochemistry & geophysics Condensed Matter Physics Differential systems 01 natural sciences Stability (probability) 010305 fluids & plasmas symbols.namesake Control theory Step function 0103 physical sciences symbols Finite time 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Modern Physics Letters B. 34:2050341 |
| ISSN: | 1793-6640 0217-9849 |
| DOI: | 10.1142/s0217984920503418 |
| Popis: | In this paper, a spring-mass system with impacts and frictions is formulated by the impulsive differential system. An energy-like Lyapunov function and an auxiliary step function are constructed to analyze the finite-time stability of such impact system with a time-varying external force and sliding friction as well as air resistance. We establish the sufficient conditions of finite-time stability for three cases of the spring-mass system, and present numerical simulations for each case to verify the validity of the theoretical results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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