 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| D.I. Bugrov and A.M. Formalskii, "Singularities of Attainability Domains with a Pulse-Limited Control Action," Mech. Solids. 53 (S2), 76-86 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S2 |
Pages |
76-86 |
| DOI |
10.3103/S0025654418050035 |
| Title |
Singularities of Attainability Domains with a Pulse-Limited Control Action |
| Author(s) |
D.I. Bugrov (Lomonosov Moscow State University, Moscow, 119991 Russia, d.bugrov@mech.math.msu.su)
A.M. Formalskii (Lomonosov Moscow State University, Moscow, 119991 Russia, formal@imec.msu.ru) |
| Abstract |
Linear stationary systems with single-control (perturbing) action are considered. The
impulse of control actions is considered limited. Some properties of the boundaries of attainability
domains are studied. It is shown that the boundary of the attainability domain can have flat regions,
regions of ruled surfaces, edges, and conical angular points. An attainability domain is not strictly convex if there are straight edges and/or flat regions on the boundary. The behavior of the boundaries of
the attainability domains with increasing time is studied. A third-order system with a threefold zero
eigenvalue (triple integrator) is considered as an example. The structure of the attainability domain of
this system is analytically investigated in three-dimensional space. An attainability domain is constructed numerically for some time values. |
| Keywords |
attainability domain, boundary of attainability domain, ruled surface, edge, conical angular point, and triple integrator |
| Received |
25 April 2018 |
| Link to Fulltext |
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