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Semistability analysis of the chaplygin sleigh and nonsmooth mechanical oscillator
, Anup K. Ekbote
Published in American Society of Mechanical Engineers
Volume: 136
Issue: 3
An appropriate notion for stability studies of dynamical systems with a continuum of equilibria is semistability. One approach to semistability investigation is based on the nontangency between the vector field and the set of equilibria. In this work, we introduce a novel way of verifying nontangency by computing an outer estimate of the direction cone and illustrate its application through two well-known second-order systems. The stable equilibria of both the systems are shown to possess the semistability property.©2014 by ASME.
About the journal
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
PublisherAmerican Society of Mechanical Engineers
Open AccessNo
Concepts (9)
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    Dynamical systems
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    Its applications
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    Mechanical oscillators
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    Second-order systemss
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    Stability study
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    Stable equilibrium
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    Vector fields
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