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  • Articles  (4)
  • Other Sources
  • Controllability  (4)
  • 1985-1989
  • 1980-1984  (4)
  • 1983  (4)
  • Mathematics  (4)
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  • Articles  (4)
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  • 1985-1989
  • 1980-1984  (4)
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  • Mathematics  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Controllability and controllability with prescribed controls (1983)
    Springer
    Journal of optimization theory and applications 39 (1983), S. 35-45 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; fixed-point theorems ; nonlinear differential equations ; boundary-value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, a controllability condition with prescribed controls (that is, a controllability condition for which the initial and final value of the control are givena priori), for classes of nonlinear control process with different controllability criteria, is obtained. The result is achieved by using the fixed-point argument as a crucial tool.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934603
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Weak global controllability of nonlinear systems (1983)
    Springer
    Journal of optimization theory and applications 39 (1983), S. 251-259 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; nonlinear systems ; weak controllability ; global controllability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of the controllability of nonlinear systems in finite-dimensional state spaces is considered in a measure-theoretical framework, in which we deal with a set of measured defined by the boundary conditions and the differential equations of the problem. The property of weak controllability is then equivalent to the existence of a positive measure satisfying a set of linear equalities and inequalities. This problem is solved by considering the extension of an associated linear functional, defined in a suitable subspace of the space of functions being used. Necessary and sufficient conditions for weak controllability are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934531
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  • 3
    Electronic Resource
    Electronic Resource
    Controllability, extremality, and abnormality in nonsmooth optimal control (1983)
    Springer
    Journal of optimization theory and applications 41 (1983), S. 239-260 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; optimal control ; differential equations ; functional-integral equations ; nonsmooth analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We derive sufficient conditions for controllability and necessary conditions for minimum in nonsmooth optimal control problems defined by differential or functional-integral equations with isoperimetric and unilateral restrictions. We consider the cases when the controls are relaxed or chosen fromabundant sets of original (ordinary) controls (which include most, or all, of the control sets studied in the literature). We prove that, if there exist optimal strictly original controls (that is, controls that are optimal in an abundant set but not among relaxed controls), then the problem admits abnormal extremals. We also study the abnormality of the optimal strictly original controls themselves.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934445
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  • 4
    Electronic Resource
    Electronic Resource
    The attainability domain of a coasting vehicle (1983)
    Springer
    Journal of optimization theory and applications 39 (1983), S. 417-430 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; attainability ; optimum trajectories ; flight mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, the attainability domain of a coasting vehicle in horizontal flight is determined. The coasting vehicle is assumed to control perfectly the angle of attack, assumed unlimited. The aerodynamic forces acting on the vehicle are explicitly modelled as nonlinear functions of the angle of attack.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934547
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