Abstract
The paper considers optimization of differential inclusions and convergence of discrete approximations. Necessary conditions of optimality are derived in terms of normal cones and Mordukhovich derivatives.
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Literature Cited
B. N. Pshenichnyi, Convex Analysis and Extremal Problems [in Russian], Nauka, Moscow (1980).
B. Sh. Mordukhovich, Approximation Methods in Optimization and Control Problems [in Russian], Nauka, Moscow (1988).
Yu. G. Evtushenko, Methods of Solution of Extremal Problems and Their Application in Optimization Systems [in Russian], Nauka, Moscow (1982).
F. Clarke, Optimization and Nonsmooth Analysis [Russian translation], Nauka, Moscow (1988).
E. S. Polovinkin and G. V. Smirnov, “One approach to differentiation of multivalued mappings and necessary conditions of optimality of solutions of differential inclusions,” Differents. Uravn.,22, No. 3, 944–954 (1986).
A. F. Filippov, Differential Equations with Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).
Additional information
Translated from Kibernetika, No. 1, pp. 76–79, 98, January–February, 1991.
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Smirnov, G.V. Discrete approximations and optimal solutions of differential inclusions. Cybern Syst Anal 27, 101–107 (1991). https://doi.org/10.1007/BF01068652
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DOI: https://doi.org/10.1007/BF01068652