Geodesic
Exponential stabilization of nonlinear control systems
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 25-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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New sufficient condition of exponential stabilization of nonlinear control system is proved.
Keywords: nonlinear control system, linear control systeml, exponential stabilization. 
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V. A. Zaitsev; S. N. Popova; E. L. Tonkov. Exponential stabilization of nonlinear control systems. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 25-29. http://geodesic.mathdoc.fr/item/VUU_2010_3_a3/

[1] Tonkov E. L., “Kriterii ravnomernoi upravlyaemosti i stabilizatsiya lineinoi rekurrentnoi sistemy”, Differentsialnye uravneniya, 15:10 (1979), 1804–1813 | MR | Zbl

[2] Makarov E. K., Popova S. N., “O globalnoi upravlyaemosti tsentralnykh pokazatelei lineinykh sistem”, Izvestiya vuzov. Matematika, 1999, no. 2(441), 60–67 | MR | Zbl

[3] Zaitsev V. A., “Ob upravlenii pokazatelyami Lyapunova i o $\lambda$-privodimosti”, Vestnik Udmurtskogo universiteta. Izhevsk, 2000, no. 1, 68–77

[4] Popova S. N., “O globalnoi upravlyaemosti pokazatelei Lyapunova lineinykh sistem”, Differentsialnye uravneniya, 43:8 (2007), 1048–1054 | MR | Zbl

[5] Zaitsev V. A., “Lyapunovskaya privodimost i stabilizatsiya nestatsionarnykh sistem s nablyudatelem”, Differentsialnye uravneniya, 46:3 (2010), 432–442 | Zbl

[6] Demidovich B. P., Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967, 472 pp. | MR

[7] Kalman R. E., “Contributions to the theory of optimal control”, Boletin de la Sociedad Matematika Mexicana, 5:1 (1960), 102–119 | MR | Zbl

[8] Massera Kh. L., “K teorii ustoichivosti”, Matematika: sb. perevodov, 1, no. 4, Izd-vo inostr. lit., M., 1957, 81–101