Necessary condition for the stabilizability of nonlinear systems with respect to a part of variables in the class of discontinuous controls-Reference-Cited by-同舟云学术

Necessary condition for the stabilizability of nonlinear systems with respect to a part of variables in the class of discontinuous controls

Published:2006-10 Issue:10 Volume:58 Page:1626-1634
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Kovalev A. M.,Kravchenko N. V.,Nespirnyi V. N.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-006-0158-6.pdf

Reference8 articles.

1. R. W. Brockett, “Asymptotic stability and feedback stabilization,” in: R. W. Brockett, R. S. Millmann, and H. J. Sussman (editors), Differential Geometric Control Theory, Birkhäuser, Boston (1983), pp. 181–191.

2. M. A. Krasnosel’skii and P. P. Zabreiko, Geometric Methods of Nonlinear Analysis [in Russian], Nauka, Moscow (1975).

3. E. P. Ryan, “On Brockett’s condition for smooth stabilizability and its necessity in a context of nonsmooth feedback,” SIAM J. Control Optim., 32, No. 6, 1597–1604 (1994).

4. A. F. Fillipov, Differential Equations with Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).

5. A. L. Zuiev, “On Brockett’s condition for smooth stabilization with respect to a part of the variables,” in: Proceedings of ECC’99, Karlsruhe (1999).

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