Necessary conditions for discrete dynamical systems with delays and general constraints
Jaroslav Doležal (1981)
Kybernetika
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Jaroslav Doležal (1981)
Kybernetika
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Arkadii Kryazhimskii (2001)
International Journal of Applied Mathematics and Computer Science
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For a class of infinite-dimensional minimization problems with nonlinear equality constraints, an iterative algorithm for finding global solutions is suggested. A key assumption is the convexity of the ''epigraph'', a set in the product of the image spaces of the constraint and objective functions. A convexification method involving randomization is used. The algorithm is based on the extremal shift control principle due to N.N. Krasovskii. An application to a problem of optimal control...
Runolfsson, Thordur (2004)
Mathematical Problems in Engineering
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Krishnan Balachandran, N. Rajagopal (1999)
Kybernetika
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The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.
El Mouatasim, Abdelkrim (2010)
Journal of Applied Mathematics
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