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Optimality Conditions for Mechanical Impacts
Author(s) -
Yunt Kerim,
Glocker Christoph
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410296
Subject(s) - pontryagin's minimum principle , optimal control , mathematical optimization , order (exchange) , computer science , control (management) , mathematics , mathematical economics , control theory (sociology) , economics , artificial intelligence , finance
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)