Another proof of the Krishnaprasad-Berenstein's theorem (Q2762818)
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scientific article; zbMATH DE number 1689531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Another proof of the Krishnaprasad-Berenstein's theorem |
scientific article; zbMATH DE number 1689531 |
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13 January 2002
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nonlinear stability
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equilibrium state
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rigid body dynamics
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Another proof of the Krishnaprasad-Berenstein's theorem (English)
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There is obtained a new proof of the \textit{P.S.~Krishnaprasad} and \textit{C.S.~Berenstein} [Syst. Control Lett. 4, 157-163 (1984; Zbl 0537.93043)], (see also \textit{P.S.~Krishnaprasad} [Nonlinear Anal., Theory Methods Appl. 9, 1011-1035 (1985; Zbl 0626.70028)]) stating that the equilibrium state \((0,0,0,0)\) of the rigid body dynamics with a single rotor is nonlinearly stable.
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