Absolute stability of a class of fractional positive nonlinear systems-Reference-Cited by-同舟云学术

Absolute stability of a class of fractional positive nonlinear systems

Published:2019-03-01 Issue:1 Volume:29 Page:93-98
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Kaczorek Tadeusz¹

Affiliation:

1. Faculty of Electrical Engineering , Białystok University of Technology , Wiejska 45D, 15-351 Białystok , Poland

Abstract

Abstract The positivity and absolute stability of a class of fractional nonlinear continuous-time and discrete-time systems are addressed. Necessary and sufficient conditions for the positivity of this class of nonlinear systems are established. Sufficient conditions for the absolute stability of this class of fractional positive nonlinear systems are also given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.sciendo.com/pdf/10.2478/amcs-2019-0007

Reference31 articles.

1. Ait Rami M. and Tadeo F. (2007). Controller synthesis for positive linear systems with bounded controls, IEEE Transactions on Circuits and Systems54(2): 151–155.10.1109/TCSII.2006.886888

2. Bartosiewicz, Z. (2017). On controllability of positive nonlinear continuous-time systems, Proceedings of the Asian Control Conference (ASCC), Gold Coast, Australia, pp. 298–302.

3. Berman, A. and Plemmons, R.J. (1994). Nonnegative Matrices in the Mathematical Sciences, SIAM, Philadelphia, PA.10.1137/1.9781611971262

4. Busłowicz, M. (2008). Stability of linear continuous-time fractional order systems with delays of the retarded type, Bulletin of the Polish Academy of Sciences: Technical Sciences56(4): 319–324.

5. Busłowicz, M. (2012). Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders, Bulletin of the Polish Academy of Sciences: Technical Sciences60(2): 279–284.10.2478/v10175-012-0037-2

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exponential decay of transient values in discrete-time positive nonlinear systems;Archives of Control Sciences;2023-11-06

2. Global stability of discrete-time non-linear systems with descriptor standard and fractional positive linear parts and scalar feedbacks;Archives of Control Sciences;2023-07-26

3. Observers of fractional linear continuous-time systems;Archives of Control Sciences;2023-07-26

4. Standard and fractional descriptor linear systems with state and its derivatives feedbacks;2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR);2022-08-22

5. Global stability of discrete-time feedback nonlinear systems with descriptor positive linear parts and interval state matrices;International Journal of Applied Mathematics and Computer Science;2022