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References
|
|
| |
| 1. |
G. Wang, Y. Xu, Periodic Feedback Stabilization for Linear Periodic Evolution equations, Springer, New York, 2016, 127 pp. |
| 2. |
D. Aeyels, J. L. Willems, “Pole assignment for linear periodic systems by memoryless output feedback”, IEEE Transactions on Automatic Control, 40:4 (1995), 735–739 |
| 3. |
A. Varga, “Robust and minimum norm pole assignment with periodic state feedback”, IEEE Transactions on Automatic Control, 45:5 (2000), 1017–1022 |
| 4. |
H. Kwakernaak, R. Sivan, Linear Optimal Control Systems, Mir Publ., Moscow, 1977, 656 pp. (In Russian) |
| 5. |
A. Stephenson, “On induced stability”, Philosophical Magazine and Journal of Science, 15:86 (1908), 233–236 |
| 6. |
K. Furuta, M. Iwase, “Swing-up time analysis of pendulum”, Bulletin of the Polish Academy of Sciences: Technical Sciences, 52:3 (2004), 153–163 |
| 7. |
A. V. Beznos, A. A. Grishin, A. V. Lenskiy, D. E. Okhotsimskiy, A. M. Formal'skiy, “A flywheel use-based control for a pendulum with a fixed suspension point”, Journal of Computer and Systems Sciences International, 2004, no. 1, 27–38 (In Russian) |
| 8. |
M. W. Spong, P. Corke, R. Lozano, “Nonlinear control of the reaction wheel pendulum”, Automatica, 37:11 (2001), 1845–1851 |
| 9. |
D. V. Grachikov, G. N. Lebedev, M. E. Semenov, O. I. Kanishcheva, “Stabilization, mistiming and optimal control of the inverted pendulum with hysteresis properties”, Proceedings of Voronezh State University. Series: Systems Analysis and Information Technologies, 2013, no. 1, 29–37 (In Russian) |
| 10. |
A. Varga, “On solving discrete-time periodic Riccati equations”, IFAC Proceedings Volumes, 38:1 (2005), 254–359 |
| 11. |
A. Bojanczyk, G. H. Golub, ,P. Van Dooren, “The periodic Schur decomposition. Algorithms and applications”, SPIE Conference Proceedings, 1770 (1992), 31–42 |
| 12. |
A. I. Egorov, Riccati Equations, Solon-Press, Moscow, 2017, 447 pp. (In Russian) |
| 13. |
V. M. Starzhinskiy, Applied Methods of Nonlinear Oscillations, Fizmatlit Publ., Moscow, 1977, 256 pp. (In Russian) |