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Exact and positive controllability of boundary control systems

Authors: ENGEL, KLAUS JOCHEN OTTO; Kramar Fijavz, Marjeta;

Exact and positive controllability of boundary control systems

Abstract

Using the semigroup approach to abstract boundary control problems we characterize the space of all exactly reachable states. Moreover, we study the situation when the controls of the system are required to be positive. The abstract results are applied to flows in networks with static as well as dynamic boundary conditions.

Country
Italy
Related Organizations
Keywords

Controllability, boundary control, reachability spaces, boundary control, positive control, operator semigroups, reachability spaces, Kalman condition, flows in networks, PDEs on graphs and networks (ramified or polygonal spaces), Applications of operator theory in systems, signals, circuits, and control theory, operator semigroups, Functional Analysis (math.FA), Mathematics - Functional Analysis, positive control, Kalman condition, Optimization and Control (math.OC), FOS: Mathematics, 93B05, 47N70, 35R02, flows in networks, Mathematics - Optimization and Control

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Top 10%
Green
gold