Abstract
Preliminary intelligence into the general theory of control and the examples of analytic solutions for some optimization problems are given. The conditions of existence of solutions are investigated. Stability of solutions and sequence of formulae for determination of gradients of specific functional are established. The structure of solutions for different optimization problems is considered in detail. The conditions of uniqueness of solutions and the example of non-uniqueness of solutions are adduced. Asymptotic properties of some solutions are found out.
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© 1999 Springer Science+Business Media Dordrecht
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Ivanov, V.V. (1999). Investigation of Optimization Problems. In: Model Development and Optimization. Applied Optimization, vol 28. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4062-5_4
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DOI: https://doi.org/10.1007/978-1-4615-4062-5_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6819-9
Online ISBN: 978-1-4615-4062-5
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