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On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. / Aleksandrov, Alexander; Platonov, Alexey; Chen, Yangzhou.

Transactions on Computational Science XXVII. Springer Nature, 2016. стр. 53-67 (Lecture Notes in Computer Science; Том 9570).

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Harvard

Aleksandrov, A, Platonov, A & Chen, Y 2016, On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. в Transactions on Computational Science XXVII. Lecture Notes in Computer Science, Том. 9570, Springer Nature, стр. 53-67. https://doi.org/10.1007/978-3-662-50412-3_4

APA

Aleksandrov, A., Platonov, A., & Chen, Y. (2016). On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. в Transactions on Computational Science XXVII (стр. 53-67). (Lecture Notes in Computer Science; Том 9570). Springer Nature. https://doi.org/10.1007/978-3-662-50412-3_4

Vancouver

Aleksandrov A, Platonov A, Chen Y. On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. в Transactions on Computational Science XXVII. Springer Nature. 2016. стр. 53-67. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-662-50412-3_4

Author

Aleksandrov, Alexander ; Platonov, Alexey ; Chen, Yangzhou. / On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. Transactions on Computational Science XXVII. Springer Nature, 2016. стр. 53-67 (Lecture Notes in Computer Science).

BibTeX

@inproceedings{41b6b16950b842fdb6b332e54f4273fd,
title = "On Stability of Difference Schemes for a Class of Nonlinear Switched Systems",
abstract = "The problem of preservation of stability under discretization is studied. A class of nonlinear switched difference systems is considered. Systems of the class appear as computational schemes for continuous-time switched systems with homogeneous right-hand sides. By using the Lyapunov direct method, some sufficient conditions of the asymptotic stability of solutions for difference systems are obtained. These conditions depend on the information available about the switching law. Three cases are considered. In the first case, we can guarantee the asymptotic stability for any switching law, while in the second and in the third ones, classes of switched signals are determined for which the preservation of the asymptotic stability takes place.",
keywords = "Switched difference systems, Computational schemes, Stability, Lyapunov functions, Dwell-time",
author = "Alexander Aleksandrov and Alexey Platonov and Yangzhou Chen",
note = "Aleksandrov A., Platonov A., Chen Y. (2016) On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. In: Gavrilova M., Tan C. (eds) Transactions on Computational Science XXVII. Lecture Notes in Computer Science, vol 9570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-50412-3_4",
year = "2016",
doi = "10.1007/978-3-662-50412-3_4",
language = "English",
isbn = "978-3-662-50411-6",
series = "Lecture Notes in Computer Science",
publisher = "Springer Nature",
pages = "53--67",
booktitle = "Transactions on Computational Science XXVII",
address = "Germany",

}

RIS

TY - GEN

T1 - On Stability of Difference Schemes for a Class of Nonlinear Switched Systems

AU - Aleksandrov, Alexander

AU - Platonov, Alexey

AU - Chen, Yangzhou

N1 - Aleksandrov A., Platonov A., Chen Y. (2016) On Stability of Difference Schemes for a Class of Nonlinear Switched Systems. In: Gavrilova M., Tan C. (eds) Transactions on Computational Science XXVII. Lecture Notes in Computer Science, vol 9570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-50412-3_4

PY - 2016

Y1 - 2016

N2 - The problem of preservation of stability under discretization is studied. A class of nonlinear switched difference systems is considered. Systems of the class appear as computational schemes for continuous-time switched systems with homogeneous right-hand sides. By using the Lyapunov direct method, some sufficient conditions of the asymptotic stability of solutions for difference systems are obtained. These conditions depend on the information available about the switching law. Three cases are considered. In the first case, we can guarantee the asymptotic stability for any switching law, while in the second and in the third ones, classes of switched signals are determined for which the preservation of the asymptotic stability takes place.

AB - The problem of preservation of stability under discretization is studied. A class of nonlinear switched difference systems is considered. Systems of the class appear as computational schemes for continuous-time switched systems with homogeneous right-hand sides. By using the Lyapunov direct method, some sufficient conditions of the asymptotic stability of solutions for difference systems are obtained. These conditions depend on the information available about the switching law. Three cases are considered. In the first case, we can guarantee the asymptotic stability for any switching law, while in the second and in the third ones, classes of switched signals are determined for which the preservation of the asymptotic stability takes place.

KW - Switched difference systems

KW - Computational schemes

KW - Stability

KW - Lyapunov functions

KW - Dwell-time

U2 - 10.1007/978-3-662-50412-3_4

DO - 10.1007/978-3-662-50412-3_4

M3 - Conference contribution

SN - 978-3-662-50411-6

T3 - Lecture Notes in Computer Science

SP - 53

EP - 67

BT - Transactions on Computational Science XXVII

PB - Springer Nature

ER -

ID: 71353917