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  • 1
    Electronic Resource
    Electronic Resource
    A class of nondifferentiable control problems (1988)
    Springer
    Journal of optimization theory and applications 56 (1988), S. 227-243 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; nondifferentiable control problems ; optimality conditions ; Fritz John optimality conditions ; duality ; converse duality ; continuous programming ; mathematical programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Optimality conditions and duality results are obtained for a class of control problems having a nondifferentiable term in the integrand of the objective functional. These results generalize many well-known results in optimal control theory involving differentiable functions, and also provide a relationship with certain nondifferentiable mathematical programming problems. Some extensions concerning the unified treatment of optimal control theory and continuous programming are also mentioned. Finally, a control problem containing an arbitrary norm, along with its appropriate norm, is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939409
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Optimality conditions and duality in subdifferentiable multiobjective fractional programming (1993)
    Springer
    Journal of optimization theory and applications 79 (1993), S. 105-125 
    Details
    ISSN: 1573-2878
    Keywords: Multiobjective fractional programming ; Fritz John and Kuhn-Tucker optimality conditions ; duality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Fritz John and Kuhn-Tucker necessary and sufficient conditions for a Pareto optimum of a subdifferentiable multiobjective fractional programming problem are derived without recourse to an equivalent convex program or parametric transformation. A dual problem is introduced and, under convexity assumptions, duality theorems are proved. Furthermore, a Lagrange multiplier theorem is established, a vector-valued ratio-type Lagrangian is introduced, and vector-valued saddle-point results are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00941889
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    Paper (German National Licenses)
    Fulltext
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