On reachable sets for positive linear systems under constrained exogenous inputs
作者： Baozhu Du , James Lam , Zhan Shu , Yong Chen
DOI: 10.1016/J.AUTOMATICA.2016.07.048
关键词: Linear system 、 Euclidean space 、 Bounding overwatch 、 Mathematics 、 Norm (mathematics) 、 Bounded function 、 Mathematical optimization 、 Lyapunov approach 、 Linear programming 、 Constant coefficients
摘要: 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 states that are reachable from origin in Euclidean space is addressed, subject inputs whose ( 1 , ) -norm or ∞ bounded by prescribed constant. Lyapunov approach applied bounding obtained solving inequalities. Iterative procedures (with an adjustable parameter) for reducing hyper-volume proposed.
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