Attracting ellipsoids and synthesis of oscillatory regimes
An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V.I. Zubov’s stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces R 2 k ⊂ R 2 n w...
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| Veröffentlicht in: | Automation and remote control 2009-08, Vol.70 (8), p.1301-1308 |
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| container_end_page | 1308 |
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| container_issue | 8 |
| container_start_page | 1301 |
| container_title | Automation and remote control |
| container_volume | 70 |
| creator | Gorobtsov, A. S. Grigor’eva, O. E. Ryzhov, E. N. |
| description | An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V.I. Zubov’s stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces
R
2
k
⊂
R
2
n
with simultaneous oscillation damping on Cartesian products
R
2
n
−2
k
. |
| doi_str_mv | 10.1134/S0005117909080037 |
| format | Article |
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| ispartof | Automation and remote control, 2009-08, Vol.70 (8), p.1301-1308 |
| issn | 0005-1179 1608-3032 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | CAE) and Design Calculus of Variations and Optimal Control Optimization Computer-Aided Engineering (CAD Control Determinate Systems Mathematics Mathematics and Statistics Mechanical Engineering Mechatronics Robotics Systems Theory |
| title | Attracting ellipsoids and synthesis of oscillatory regimes |
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