On positively invariant polyhedrons for continuous-time positive linear systems.

This paper is concerned with the determination of positively invariant polyhedron for positive linear systems subject to external disturbances whose (∞, 1)-norm or (∞, ∞)-norm are bounded by a prescribed constant. Necessary and sufficient conditions for the existence of a positively invariant polyhedron are derived in terms of a set of inequalities which can be solved by linear programming, and the link between Lyapunov stability and positively invariant polyhedron is also revealed. [ABSTRACT FROM AUTHOR]