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- W1666234369 abstract "Abstract This paper proposes a new method to determine the viability of linear differential inclusions on an unbounded polyhedron. Based on nonsmooth analysis and viability theory, a sufficient and necessary condition of viability for a convex cone is presented. We then apply the result to an autonomous continuous‐time positive linear system and a continuous‐time positive linear system with scalar inputs, respectively. We give a sufficient condition that guarantees the viability of linear differential inclusions on an unbounded polyhedron. The advantage of the proposed methods is that determining the viability is transformed into solving a finite number of linear programmings. Finally, the effectiveness of our approach is demonstrated through an example." @default.
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- W1666234369 date "2014-03-03" @default.
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- W1666234369 title "Determining the Viable Unbounded Polyhedron Under Linear Control Systems" @default.
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- W1666234369 doi "https://doi.org/10.1002/asjc.849" @default.
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