New criteria for exponential stability of linear neutral differential systems with distributed delays
Pham Huu Anh Ngoc; Thai Bao Tran; Nguyen Dinh Huy
Kybernetika (2021)
- Volume: 57, Issue: 5, page 776-784
- ISSN: 0023-5954
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topNgoc, Pham Huu Anh, Tran, Thai Bao, and Huy, Nguyen Dinh. "New criteria for exponential stability of linear neutral differential systems with distributed delays." Kybernetika 57.5 (2021): 776-784. <http://eudml.org/doc/297646>.
@article{Ngoc2021,
abstract = {We present new explicit criteria for exponential stability of general linear neutral time-varying differential systems. Particularly, our results give extensions of the well-known stability criteria reported in [3,11] to linear neutral time-varying differential systems with distributed delays.},
author = {Ngoc, Pham Huu Anh, Tran, Thai Bao, Huy, Nguyen Dinh},
journal = {Kybernetika},
keywords = {linear neutral differential equation; exponential stability; time-varying systems},
language = {eng},
number = {5},
pages = {776-784},
publisher = {Institute of Information Theory and Automation AS CR},
title = {New criteria for exponential stability of linear neutral differential systems with distributed delays},
url = {http://eudml.org/doc/297646},
volume = {57},
year = {2021},
}
TY - JOUR
AU - Ngoc, Pham Huu Anh
AU - Tran, Thai Bao
AU - Huy, Nguyen Dinh
TI - New criteria for exponential stability of linear neutral differential systems with distributed delays
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 5
SP - 776
EP - 784
AB - We present new explicit criteria for exponential stability of general linear neutral time-varying differential systems. Particularly, our results give extensions of the well-known stability criteria reported in [3,11] to linear neutral time-varying differential systems with distributed delays.
LA - eng
KW - linear neutral differential equation; exponential stability; time-varying systems
UR - http://eudml.org/doc/297646
ER -
References
top- Agarwal, R. P., Grace, S. R., , Math.Computer Modell. 31 (2000), 9-15. DOI
- Alexandrova, I. V., Zhabko, A. P., , Automatica 106 (2019), 83-90. DOI
- Bellen, A., Guglielmi, N., Ruehli, A. E., , IEEE Trans. Circuits Systems I Fundamental Theory Appl. 46 (1999), 212-215. DOI
- Duda, J, A Lyapunov functional for a neutral system with a time-varying delay., Bull. Polish Acad. Sci.: Techn. Sci. 61 (2013), 911-918.
- Desoer, CA., Vidyasagar, M., Feedback Synthesis: Input-Output Properties., SIAM, Philadelphia 2009.
- Fridman, E., , Systems Control Lett. 43 (2001), 309-319. Zbl0974.93028DOI
- Gil, M., Stability of Neutral Functional Differential Equations., Atlantis Press, Amsterdam, Paris, Bejing 2014.
- Hale, J., Lunel, S., Introduction to Functional Differential Equations., Springer-Verlag, Berlin 1993. Zbl0787.34002
- Hu, G. D., Hu, G. D., , Int. J. Systems Science 28 (1997), 1325-1328. DOI
- Kolmanovskii, V., Mishkis, A., Introduction to the Theory and Applications of Functional Differential Equations: Mathematics and its Applications., Kluwer Academic Publisher, Dordreht 1999.
- Li, L., , Bull. Austral. Math. Soc. 38 (1988), 339-344. DOI
- Li, Z., Lam, J., Wang, Y., , Automatica 91 (2018), 179-189. DOI
- Ngoc, P. H. A., Trinh, H., , IEEE Trans. Automat. Control 61 (2016), 1590-1594. DOI
- Verriest, E., Niculescu, S., Delay-independent stability of linear neutral systems: A Riccati equation approach., In: Stability and Control of Time-Delay Systems (L. Dugard and E. I. Verriest, eds.), Springer-Verlag, London 1998, pp. 92-100.
- Zhao, N., Zhang, X., Xue, Y., Shi, P., , J. Franklin Inst. 355 (2018), 458-473. DOI
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