| Title:
|
New criteria for exponential stability of linear neutral differential systems with distributed delays (English) |
| Author:
|
Ngoc, Pham Huu Anh |
| Author:
|
Tran, Thai Bao |
| Author:
|
Huy, Nguyen Dinh |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
5 |
| Year:
|
2021 |
| Pages:
|
776-784 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
linear neutral differential equation |
| Keyword:
|
exponential stability |
| Keyword:
|
time-varying systems |
| MSC:
|
34K20 |
| idZBL:
|
Zbl 07478639 |
| idMR:
|
MR4363236 |
| DOI:
|
10.14736/kyb-2021-5-0776 |
| . |
| Date available:
|
2022-01-05T07:54:22Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149303 |
| . |
| Reference:
|
[1] Agarwal, R. P., Grace, S. R.: Asymptotic stability of certain neutral differential equations..Math.Computer Modell. 31 (2000), 9-15. |
| Reference:
|
[2] Alexandrova, I. V., Zhabko, A. P.: Stability of neutral type delay systems: A joint Lyapunov-Krasovskii and Razumikhin approach..Automatica 106 (2019), 83-90. |
| Reference:
|
[3] Bellen, A., Guglielmi, N., Ruehli, A. E.: Methods for linear systems of circuit delay differential equations of neutral type..IEEE Trans. Circuits Systems I Fundamental Theory Appl. 46 (1999), 212-215. |
| Reference:
|
[4] Duda, J: A Lyapunov functional for a neutral system with a time-varying delay..Bull. Polish Acad. Sci.: Techn. Sci. 61 (2013), 911-918. |
| Reference:
|
[5] Desoer, CA., Vidyasagar, M.: Feedback Synthesis: Input-Output Properties..SIAM, Philadelphia 2009. |
| Reference:
|
[6] Fridman, E.: New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems..Systems Control Lett. 43 (2001), 309-319. Zbl 0974.93028, |
| Reference:
|
[7] Gil, M.: Stability of Neutral Functional Differential Equations..Atlantis Press, Amsterdam, Paris, Bejing 2014. |
| Reference:
|
[8] Hale, J., Lunel, S.: Introduction to Functional Differential Equations..Springer-Verlag, Berlin 1993. Zbl 0787.34002 |
| Reference:
|
[9] Hu, G. D., Hu, G. D.: Simple criteria for stability of neutral systems with multiple delays..Int. J. Systems Science 28 (1997), 1325-1328. |
| Reference:
|
[10] Kolmanovskii, V., Mishkis, A.: Introduction to the Theory and Applications of Functional Differential Equations: Mathematics and its Applications..Kluwer Academic Publisher, Dordreht 1999. |
| Reference:
|
[11] Li, L.: Stability of linear neutral delay-differential systems..Bull. Austral. Math. Soc. 38 (1988), 339-344. |
| Reference:
|
[12] Li, Z., Lam, J., Wang, Y.: Stability analysis of linear stochastic neutral-type time-delay systems with two delays..Automatica 91 (2018), 179-189. |
| Reference:
|
[13] Ngoc, P. H. A., Trinh, H.: Novel criteria for exponential stability of linear neutral time-varying differential systems..IEEE Trans. Automat. Control 61 (2016), 1590-1594. |
| Reference:
|
[14] 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. |
| Reference:
|
[15] Zhao, N., Zhang, X., Xue, Y., Shi, P.: Necessary conditions for exponential stability of linear neutral type systems with multiple time delays..J. Franklin Inst. 355 (2018), 458-473. |
| . |
