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Stability and stabilization of periodic piecewise positive systems: A time segmentation approach.
- Source :
- Asian Journal of Control; Mar2023, Vol. 25 Issue 2, p677-694, 18p
- Publication Year :
- 2023
-
Abstract
- This paper is concerned with the stability analysis and stabilization of periodic piecewise positive systems. By constructing a time‐scheduled copositive Lyapunov function with a time segmentation approach, an equivalent stability condition, determined via linear programming, for periodic piecewise positive systems is established. Based on the asymptotic stability condition, the spectral radius characterization of the state transition matrix is proposed. The relation between the spectral radius of the state transition matrix and the convergent rate of the system is also revealed. An iterative algorithm is developed to stabilize the system by decreasing the spectral radius of the state transition matrix. Finally, numerical examples are given to illustrate the results. [ABSTRACT FROM AUTHOR]
- Subjects :
- POSITIVE systems
LINEAR programming
LYAPUNOV functions
Subjects
Details
- Language :
- English
- ISSN :
- 15618625
- Volume :
- 25
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Asian Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 162399284
- Full Text :
- https://doi.org/10.1002/asjc.2909