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Date Published:
28/04/2017
Online Published:
28/04/2017
Abstract Views: 24
Views PDF: 19
Views PDF: 19
Section
Natural Sciences Issue
How to Cite
Le, T. H., & Nguyen, T. T. H. (2017). Sufficient conditions for solution stability of nonlinear time-varying perturbed difference systems with delays. Dong Thap University Journal of Science, 25, 83-88. https://doi.org/10.52714/dthu.25.4.2017.456
Sufficient conditions for solution stability of nonlinear time-varying perturbed difference systems with delays
Main Article Content
Abstract
In this paper, we generate new sufficient conditions for exponential stability of nonlinear perturbed time-varying difference systems with delays. An example is provided to illustrate the obtained results.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
Difference systems, perturbed systems, stability bound, exponential stability
References
[1]. M. Buslowicz (2008), “Simple stability conditions for linear positive discrete-time systems with delays”, Bulletin of the Polish Academy of Sciences, Technical Sciences, (56), p. 325-328.
[2]. Lê Trung Hiếu (2015), Về tính ổn định một số lớp của phương trình sai phân, Luận án tiến sĩ, Trường Đại học Khoa học Tự nhiên, Đại học Quốc gia Thành phố Hồ Chí Minh.
[3]. D. Hinrichsen, N.K. Son, P. H. A. Ngoc (2003), “Stability radii of positive higher order difference systems”, Systems & Control Letters, (49), p. 377-388.
[4]. E. Liz (2011), “Stability of non-autonomous difference equations: simple ideas leading to useful results”, Journal of Difference Equations and Applications, (17), p. 203-220.
[5]. P. T. Nam, V. N. Phat, P. N. Pathirana, H. Trinh (2016), “Stability analysis of general family of nonlinear positive discrete time-delay systems”, International Journal of Control, (89.7), p. 1303- 1315.
[6]. P. H. A. Ngoc, L. T. Hieu (2013), “New criteria for exponential stability of nonlinear difference systems with time-varying delay”, International Journal of Control, 86 (9), p. 1646-1651.
[7]. S. Udpin, P. Niamsup (2009), “New discrete type inequalities and global stability of nonlinear difference equations”, Applied Mathematics Letters, (22), p. 856-859.
[2]. Lê Trung Hiếu (2015), Về tính ổn định một số lớp của phương trình sai phân, Luận án tiến sĩ, Trường Đại học Khoa học Tự nhiên, Đại học Quốc gia Thành phố Hồ Chí Minh.
[3]. D. Hinrichsen, N.K. Son, P. H. A. Ngoc (2003), “Stability radii of positive higher order difference systems”, Systems & Control Letters, (49), p. 377-388.
[4]. E. Liz (2011), “Stability of non-autonomous difference equations: simple ideas leading to useful results”, Journal of Difference Equations and Applications, (17), p. 203-220.
[5]. P. T. Nam, V. N. Phat, P. N. Pathirana, H. Trinh (2016), “Stability analysis of general family of nonlinear positive discrete time-delay systems”, International Journal of Control, (89.7), p. 1303- 1315.
[6]. P. H. A. Ngoc, L. T. Hieu (2013), “New criteria for exponential stability of nonlinear difference systems with time-varying delay”, International Journal of Control, 86 (9), p. 1646-1651.
[7]. S. Udpin, P. Niamsup (2009), “New discrete type inequalities and global stability of nonlinear difference equations”, Applied Mathematics Letters, (22), p. 856-859.
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