Alexey, Kurbatskiy and Vladimir, Zakalyukin (2009): Особенности множества транзитивности, заданного замкнутыми пространственными кривыми. Published in: Современные проблемы математики и механики, Издательство Московского университета , Vol. 4, No. 2 (2009): pp. 3-23.
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We discuss the classification of local generic singularities of so called transitivity zones, arising in control theory and determined by a family of closed submanifolds in a linear space depending on parameters.
Transitivity zone consists of parameter values such that the origin belongs to the interior of the convex hull of respective submanifold.
| Item Type: | MPRA Paper |
|---|---|
| Original Title: | Особенности множества транзитивности, заданного замкнутыми пространственными кривыми |
| Language: | Russian |
| Keywords: | control theory, transitivity zone, singularities |
| Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods and Programming C - Mathematical and Quantitative Methods > C6 - Mathematical Methods and Programming > C61 - Optimization Techniques; Programming Models; Dynamic Analysis |
| ID Code: | 34599 |
| Deposited By: | Alexey Kurbatskiy |
| Deposited On: | 11. Nov 2011 10:52 |
| Last Modified: | 11. Nov 2011 10:52 |
| References: | В. М. Закалюкин, А. Н. Курбацкий, “Особенности огибающих семейств плоскостей в теории управления”, Оптимальное управление, Сборник статей. К 60-летию со дня рождения профессора Виктора Ивановича Благодатских, Тр. МИАН, 262, МАИК, М., 2008, 73–86 |
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