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Avtomatika i Telemekhanika, 2012, Issue 10, Pages 3–17
(Mi at4078)
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This article is cited in 33 scientific papers (total in 33 papers)
Linear Systems
Iterative optimization algorithms for discrete-continuous processes
I. V. Rasina Siberian Academy of Law, Economics, and Management, Irkutsk, Russia
Abstract:
We propose a series of approximate and iterative optimizational methods for discrete-continuous processes based on Krotov's sufficient optimality conditions. Iterations are constructed by localizing the global optimality conditions and Krotov's minimax scheme with various approximations. The very concept of a discrete-continuous system and the corresponding optimality conditions and algorithms represent a convenient formalism to study a wide class of complex systems and processes, in particular, magistral solutions of singular problems that are significantly non-uniform in structure.
Citation:
I. V. Rasina, “Iterative optimization algorithms for discrete-continuous processes”, Avtomat. i Telemekh., 2012, no. 10, 3–17; Autom. Remote Control, 73:10 (2012), 1591–1603
Linking options:
https://www.mathnet.ru/eng/at4078 https://www.mathnet.ru/eng/at/y2012/i10/p3
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Abstract page: | 572 | Full-text PDF : | 136 | References: | 68 | First page: | 15 |
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