
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.
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
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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