Stabilization of an overturned pendulum with delayed feedback (Q1406457)
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scientific article; zbMATH DE number 1974908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilization of an overturned pendulum with delayed feedback |
scientific article; zbMATH DE number 1974908 |
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Stabilization of an overturned pendulum with delayed feedback (English)
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4 September 2003
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The goal of the paper is to construct a domain of asymptotic stability of the zero solution to the differential equation \[ \ddot\varphi(t) + \dot\varphi(t-\tau) cos\varphi(t) + a\varphi(t-\tau)\cos\varphi(t) - b\sin\varphi(t)=0 \] in the plane of combined parameters \(a>b\) and \(b>0\) for fixed \(\tau\). The construction is made by the method of \(D\)-partitionings.
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turned over pendulum
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stabilization
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feedback with delay
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0.92934275
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0.92078304
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0.9103146
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0.9076301
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0.8814224
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0.88074464
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0.87925667
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