Enviar artigo por via de e-mail On the Stability of a Switched Affine System for a Class of Switching Signals
- Autores: Fursov A.S1,2,3, Krylov P.A2
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Afiliações:
- Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China
- Lomonosov Moscow State University, Moscow, 119991, Russia
- Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia
- Edição: Volume 59, Nº 4 (2023)
- Páginas: 554-562
- Seção: Articles
- URL: https://manmiljournal.ru/0374-0641/article/view/649389
- DOI: https://doi.org/10.31857/S0374064123040118
- EDN: https://elibrary.ru/ANVLXF
- ID: 649389
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Resumo
We study the problem of stability of the zero equilibrium of a switched affine system closed by a linear static state feedback. The concept of feasible control for a given set of switching signals is introduced, and a constructive condition for checking this property for an arbitrary linear feedback is obtained. A sufficient condition for the stability of the zero equilibrium of a switched affine system closed by a feasible control is formulated.
Sobre autores
A. Fursov
Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China; Lomonosov Moscow State University, Moscow, 119991, Russia; Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia
Email: fursov@cs.msu.ru
Ханчжоу, Китай;Москва, Россия
P. Krylov
Lomonosov Moscow State University, Moscow, 119991, Russia
Autor responsável pela correspondência
Email: pavel@leftsystem.ru
Москва, Россия
Bibliografia
- Rewienski M., White J. Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations // Linear Algebra and its Appl. 2006. V. 415. P. 426-454.
- Johansson M. Piecewise Linear Control System. Berlin; Heidelberg, 2003.
- Rodrigues L., How J. Synthesis of piecewise-affine controllers for stabilization of nonlinear systems // Proc. of the IEEE Conf. on Decision and Control. 2004. V. 3. P. 2071-2076.
- Филиппов А.Ф. Дифференциальные уравнения с разрывной правой частью. М., 1985.
- Li C., Chen G., Liao X. Stability of piecewise affine systems with application to chaos stabilization // Chaos. 2007. V. 17. P. 023123.
- Liberzon D. Switching in Systems and Control. Boston, 2003.
- Черников С.Н. Линейные неравенства. М., 1968.
- Демидович Б.П. Лекции по математической теории устойчивости. М., 1967.
- Fraysseix H., Mendez P., Rosenstiehl P. Bipolar orientations revisited // Discrete Appl. Math. 1995. V. 56. P. 426-454.
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