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On positively invariant polyhedrons for continuous-time positive linear systems.
- Source :
-
Journal of the Franklin Institute . Nov2020, Vol. 357 Issue 17, p12571-12587. 17p. - Publication Year :
- 2020
-
Abstract
- This paper is concerned with the determination of positively invariant polyhedron for positive linear systems subject to external disturbances whose (∞, 1)-norm or (∞, ∞)-norm are bounded by a prescribed constant. Necessary and sufficient conditions for the existence of a positively invariant polyhedron are derived in terms of a set of inequalities which can be solved by linear programming, and the link between Lyapunov stability and positively invariant polyhedron is also revealed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POSITIVE systems
*LYAPUNOV stability
Subjects
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 357
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 146855549
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2020.05.013