Pyragas stabilizability via feedback with periodic control gain
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- 作者：G. A. Leonov
- 刊名：Doklady Mathematics
- 出版年：2015
- 出版时间：July 2015
- 年：2015
- 卷：92
- 期：1
- 页码：519-520
- 全文大小：135 KB
- 参考文献：1.G. A. Leonov, Syst. Control Lett. 69, 34-7 (2014).MATH CrossRef
2.K. Pyragas, Phys. Lett. A 170, 421-28 (1992).CrossRef
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4.A. Namajunas, K. Pyragas, and A. Tamasevicius, Phys. Lett. A 204, 255-62 (1995).CrossRef
5.V. Pyragas and K. Pyragas, Phys. Rev. E 73, 036215, 1-0 (2006).MathSciNet
6.A. Tamasevicius, G. Mykolaitis, V. Pyragas, and K. Pyragas, Phys. Rev. E 76, 026203, 1- (2007).
7.G. A. Leonov, St. Petersburg Math. J. 17 (4), 613-28 (2002).
8.G. A. Leonov, J. Appl. Math. Mech. 65 (5), 777-83 (2001).MathSciNet CrossRef
9.G. A. Leonov, Am. Math. Soc. Trans. 205 (2), 153-73 (2002).
10.G. A. Leonov, Mathematical Problems of Control Theory (World Scientific, Singapore, 2001).MATH
11.G. A. Leonov and M. M. Shumafov, Stabilization of Linear Systems (Cambridge Scientific Press, Cambridge, 2012).
12.G. A. Leonov and M. M. Shumafov, Nonlinear Dyn. Syst. Theory 10 (3), 235-68 (2010).MATH MathSciNet
13.L. Ya. Andrianova, Introduction to Linear Systems of Differential Equations (Am. Math. Soc, New York, 1995). - 作者单位：G. A. Leonov (1)
1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504, Russia - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Russian Library of Science - 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
- ISSN：1531-8362
文摘
A new algorithm for stabilizing unstable periodic solutions is obtained. The algorithm relies on ideas of the classical theory of delay differential equations, the Floquet and Erugin theorems, and nonstationary stabilization theory. Original Russian Text ? G.A. Leonov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 463, No. 3, pp. 274-75.