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On the Kreĭn-Rutman theorem and its applications to controllability


Authors: Vũ Ngọc Phát and Trinh Cong Dieu
Journal: Proc. Amer. Math. Soc. 120 (1994), 495-500
MSC: Primary 47N70; Secondary 47H04, 93B05
DOI: https://doi.org/10.1090/S0002-9939-1994-1182706-X
MathSciNet review: 1182706
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Abstract: This paper extends Krein-Rutman's theorem on linear operators leaving an invariant cone in infinite-dimensional Banach spaces to multivalued convex functions. The result is applied to obtain necessary and sufficient conditions for global controllability and reachability of nonlinear discrete-time systems described by convex processes.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1182706-X
Article copyright: © Copyright 1994 American Mathematical Society