On the Krein-Rutman Theorem and Its Applications to Controllability

DOI10.2307/2159886zbMath0815.46006OpenAlexW4243955779MaRDI QIDQ4286406

Trinh Cong Dieu, Vu Ngoc Phat

Publication date: 25 June 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159886

zbMATH Keywords

eigenvectorglobal controllability and reachability of nonlinear discrete-time systems described by convex processesmultivalued convex functions

Mathematics Subject Classification ID

Controllability (93B05) Spaces of linear operators; topological tensor products; approximation properties (46A32) Convex sets and cones of operators (47L07) Ordered topological linear spaces, vector lattices (46A40)

Related Items (6)

On eigenvectors of convex processes in non-pointed cones ⋮ A Spectral Characterization of Controllability for Linear Discrete-Time Systems with Conic Constraints ⋮ A Geometric Approach to Convex Processes: From Reachability to Stabilizability ⋮ On Detectability and Observability of Discrete‐Time Stochastic <scp>M</scp>arkov Jump Systems with State‐Dependent Noise ⋮ Reachability for discrete-time dynamical set-valued systems depending on a parameter ⋮ Some remarks on controllability and reachability of nonstationary discrete-time processes^*

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