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On the reachability properties of continuous-time positive systems

Maria Elena Valcher

Open publisher page 8 citations

Abstract

In this paper, reachability properties of continuous-time positive systems are introduced and characterized in algebraic terms. Specifically, first it is shown that reachability and strong reachability are equivalent properties, and thus the characterization of strong reachability derived in (Commault and Alamir, 2007) is extended to the weaker notion of reachability. In the second part of the paper, essential reachability is introduced, and necessary and sufficient conditions for this property to hold are provided.

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What this paper is about

In this paper, reachability properties of continuous-time positive systems are introduced and characterized in algebraic terms. Specifically, first it is shown that reachability and strong reachability are equivalent properties, and thus the characterization of strong reachability derived in (Commault and Alamir, 2007) is extended to the weaker notion of reachability. In the second part of the paper, essential reachability is introduced, and necessary and sufficient conditions for this property to hold are provided.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, reachability properties of continuous-time positive systems are introduced and characterized in algebraic terms. Specifically, first it is shown that reachability and strong reachability are equivalent properties, and thus the characterization of strong reachability derived in (Commault and Alamir, 2007) is extended to the weaker notion of reachability. In the second part of the paper, essential reachability is introduced, and necessary and sufficient conditions for this property to hold are provided.

Key concepts: Reachability, Characterization (materials science), Algebraic number, Property (philosophy), Reachability problem, Mathematics, Computer science, Discrete mathematics

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