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Stabilization of a Rotating Body with Euler–Bernoulli Beams

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Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 458))

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Abstract

This chapter is focused on the partial stabilization problem of a rotating rigid body endowed with a number of elastic beams. To stabilize the equilibrium of this mechanical system, we apply results of Chap. 2. In addition, we prove strong (non-asymptotic) stability in the sense of Lyapunov as well as relative compactness of the trajectories for the corresponding nonlinear semigroup. In this chapter, we also study a mathematical model of a multi-link manipulator consisting of rigid bodies and a chain of Euler–Bernoulli beams.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine

    Alexander L. Zuyev

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  1. Alexander L. Zuyev
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Correspondence to Alexander L. Zuyev .

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Zuyev, A.L. (2015). Stabilization of a Rotating Body with Euler–Bernoulli Beams. In: Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements. Lecture Notes in Control and Information Sciences, vol 458. Springer, Cham. https://doi.org/10.1007/978-3-319-11532-0_3

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  • DOI: https://doi.org/10.1007/978-3-319-11532-0_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11531-3

  • Online ISBN: 978-3-319-11532-0

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