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Finite-time state bounding of homogeneous nonlinear positive systems with disturbance.
- Source :
-
Journal of the Franklin Institute . Jan2022, Vol. 359 Issue 1, p27-37. 11p. - Publication Year :
- 2022
-
Abstract
- This paper deals with the finite-time state bounding problem of homogeneous nonlinear positive systems with disturbance. Based on a technique used in positive systems, explicit conditions are established such that all solutions of homogeneous nonlinear positive systems with degree 0 < p < 1 converge to a ball in finite time. The approach used in this paper is different from the usual Lyapunov-Krasovskii functional method. We also extend the main result to the general nonlinear time-varying systems. Finally, two numerical examples are given to show the effectiveness of our results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 359
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 154695095
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2020.12.037