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On the reachability in any fixed time for positive continuous-time linear systems. (English) Zbl 1113.93012

Summary: This paper deals with the reachability of continuous-time linear positive systems. The reachability of such systems, which we will call here the strong reachability, amounts to the possibility of steering the state in any fixed time to any point of the positive orthant by using nonnegative control functions. The main result of this paper essentially says that the only strongly reachable positive systems are those made of decoupled scalar subsystems. Moreover, the strongly reachable set is also characterized.

MSC:

93B03 Attainable sets, reachability
93C15 Control/observation systems governed by ordinary differential equations
93C05 Linear systems in control theory
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