Stability of the upper equilibrium of a mathematical pendulum on the moving base in the presence of impulse action (Q2901757)
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scientific article; zbMATH DE number 6062262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the upper equilibrium of a mathematical pendulum on the moving base in the presence of impulse action |
scientific article; zbMATH DE number 6062262 |
Statements
31 July 2012
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impulse system
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stability
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Lyapunov function
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0.8818144
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0.8760373
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0.8741326
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0.8690133
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0.86807865
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0.8657941
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Stability of the upper equilibrium of a mathematical pendulum on the moving base in the presence of impulse action (English)
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The authors study a mathematical model of a pendulum whose suspension point is attached to the center of a wheel. For such a model, the Lagrange equations of motion contain an impulse term corresponding to the wheel impact force. The equations of motion are linearized around the upper equilibrium of the pendulum with periodic impulse action. Then stability conditions are obtained by analyzing the multipliers of the monodromy matrix.
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