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On reachable sets for positive linear systems under constrained exogenous inputs.
- Source :
-
Automatica . Dec2016, Vol. 74, p230-237. 8p. - Publication Year :
- 2016
-
Abstract
- This paper focuses on positive linear time-invariant systems with constant coefficients and specific exogenous disturbance. The problem of finding a hyper-pyramid to bound the set of the states that are reachable from the origin in the Euclidean space is addressed, subject to inputs whose ( 1 , 1 ) -norm or ( ∞ , 1 ) -norm is bounded by a prescribed constant. The Lyapunov approach is applied and a bounding hyper-pyramid is obtained by solving a set of inequalities. Iterative procedures (with an adjustable parameter) for reducing the hyper-volume of the bounding hyper-pyramid for the reachable set are proposed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 74
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 119371336
- Full Text :
- https://doi.org/10.1016/j.automatica.2016.07.048