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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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References

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    L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishcenko. The Mathematical Theory of Optimal Processes. New York: Interscience Publishers, Inc., (1962).
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    D. E. Kirk, Optimal Control Theory, Prentice-Hall, New Jersey, (1970).
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    Ch. Glocker, Set-Valued Force Laws, Dynamics of Non-Smooth Systems, Springer-Verlag, Berlin Heidelberg (2001).
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    R. I. Leine, Ch. Glocker, On the Interpretation of the Augmented Lagrangian in Mechanics with Set-valued Force Laws, ETH Zurich (2003).
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    B. Brogliato, Nonsmooth Impact Mechanics, Lecture Notes in Control and Information Sciences, Springer Verlag, (1996).
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    B. Brogliato, On the control of non-smooth complementarity dynamical systems, Phil. Trans. R. Soc. Lond. A 359, 2369-2383, (2001).
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    van der Schaft, A., Schumacher, H. An Introduction to Hybrid Dynamical Systems. Lecture Notes in Control and Information Sciences vo. 251, Springer (2000).
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    R. W. Cottle, J.-S. Pang and R. E. Stone. The Linear Complementarity Problem. Academic Press, Boston, (1992).
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    K. G. Murty, Linear Complementarity, Linear and Nonlinear Programming, Helderman-Verlag, (1988).
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    H. P. Geering, Optimale Regelung, Vorlesungsunterlagen, Institut fuer Mess- und Regelungstechnik, ETH Zuerich (1999).
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