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Local and Global Directional Controllability: Sufficient Conditions and Examples

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Nonsmooth Optimization and Related Topics

Part of the book series: Ettore Majorana International Science Series ((EMISS,volume 43))

Abstract

We shall introduce our subject with an example from control theory. Consider the controlled differential equation

$$x(t)\, = \,\int\limits_0^t {f(s,x(s),\,u(s))} ds\,\forall t\, \in \,[0,1]$$

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Northeastern Univ., Boston, Massachusetts, USA

    J. Warga

Authors
  1. J. Warga
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Editor information

Editors and Affiliations

  1. Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ.A, H3C 3J7, Montréal, Quebec, Canada

    F. H. Clarke

  2. Department of Applied Mathematics, Leningrad State University, Staryi Peterhof, 198904, Leningrad, USSR

    V. F. Dem’yanov

  3. Dipartimento di Mathematica, Universitá di Pisa, Via F. Buonarroti 2, 56100, Pisa, Italy

    F. Giannessi

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© 1989 Springer Science+Business Media New York

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Warga, J. (1989). Local and Global Directional Controllability: Sufficient Conditions and Examples. In: Clarke, F.H., Dem’yanov, V.F., Giannessi, F. (eds) Nonsmooth Optimization and Related Topics. Ettore Majorana International Science Series, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6019-4_25

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  • DOI: https://doi.org/10.1007/978-1-4757-6019-4_25

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-6021-7

  • Online ISBN: 978-1-4757-6019-4

  • eBook Packages: Springer Book Archive

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