On the Kreĭn-Rutman theorem and its applications to controllability
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- by Vũ Ngọc Phát and Trinh Cong Dieu PDF
- Proc. Amer. Math. Soc. 120 (1994), 495-500 Request permission
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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- 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