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Optimality Conditions for Mechanical Impacts

  1. Kerim Yunt1,*,
  2. Christoph Glocker2,*

Article first published online: 22 DEC 2004

DOI: 10.1002/pamm.200410296

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PAMM

PAMM

Volume 4, Issue 1, pages 630–631, December 2004

Additional Information

How to Cite

Yunt, K. and Glocker, C. (2004), Optimality Conditions for Mechanical Impacts. Proc. Appl. Math. Mech., 4: 630–631. doi: 10.1002/pamm.200410296

Author Information

  1. 1

    ETH Zentrum CLA G23.2 8092 Zuerich/Switzerland

  2. 2

    ETH Zentrum CLA J23.1 8092 Zuerich/Switzerland

*Phone: +00411 632 23 03, Fax: +00411 632 11 45

Publication History

  1. Issue published online: 22 DEC 2004
  2. Article first published online: 22 DEC 2004

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Abstract

In this report the necessary conditions for optimal non-smooth control of rigid body mechanical systems with multiple impacts will be stated in accordance with Pontryagin's Minimum Principle. Criteria based on the Weierstrass-Erdmann (WE) conditions and contemporary impact theory will be established in order to assess the optimality of an impact.The determination of post-impact state and costate values from the pre-impact values will be possible in some cases. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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