Erratum to: Semigroups of max-plus linear operators
نویسندگان
چکیده
منابع مشابه
Semigroups of Linear Operators
Our goal is to define exponentials of linear operators. We will try to construct etA as a linear operator, where A : D(A)→ X is a general linear operator, not necessarily bounded. Notationally, it seems like we are looking for a solution to μ̇(t) = Aμ(t), μ(0) = μ0, and we would like to write μ(t) = eμ0. It turns out that this will hold once we make sense of the terms. How can we construct etA w...
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In this note, we provide a solution to a class of finite-horizon min–max control problems for uncertain max-plus-linear systems where the uncertain parameters are assumed to lie in a given convex and compact set, and it is required that the closed-loop input and state sequence satisfy a given set of linear inequality constraints for all admissible uncertainty realizations. We provide sufficient...
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In general semimodules, we say that the image of a linear operator B and the kernel of a linear operator C are direct factors if every equivalence class modulo C crosses the image of B at a unique point. For linear maps represented by matrices over certain idempotent semifields such as the (max,+)-semiring, we give necessary and sufficient conditions for an image and a kernel to be direct facto...
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2017
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-017-9870-9