2013
DOI: 10.1016/j.automatica.2013.05.014
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Constrained flow control in storage networks: Capacity maximization and balancing

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Cited by 39 publications
(28 citation statements)
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“…For the feedback controller design, we extend now the control objective and require in additions that the feedback controller achieves a balancing of the inventory levels of (1). Network balancing is widely accepted as control objective in storage networks, as it promises to make best use of the available storage, [8], [14]. 4 Please note that the solution to (18) could equivalently be expressed aṡ ζ w (t) = −L † (ζ w (t))Bω(t), where L † (ζ w (t)) is the generalized inverse of the weighted Laplacian matrix (17).…”
Section: Feedback Controller Designmentioning
confidence: 99%
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“…For the feedback controller design, we extend now the control objective and require in additions that the feedback controller achieves a balancing of the inventory levels of (1). Network balancing is widely accepted as control objective in storage networks, as it promises to make best use of the available storage, [8], [14]. 4 Please note that the solution to (18) could equivalently be expressed aṡ ζ w (t) = −L † (ζ w (t))Bω(t), where L † (ζ w (t)) is the generalized inverse of the weighted Laplacian matrix (17).…”
Section: Feedback Controller Designmentioning
confidence: 99%
“…, λ m ] T ∈ R m the flow along the lines, and P w an external in-/outflow of the inventories, i.e., the supply or demand. This basic model (or its discrete time version) is studied in [5], [9], [7], [8], [14] and is a relevant model for supply chains ( [18]) or data networks ( [19]). The objective of this paper is to design distribution control laws for the flows λ, that achieve two objectives: (i) balancing of the storage levels, i.e., lim t→∞ |x i (t) − x j (t)| = 0 for all i, j ∈ {1, .…”
Section: Time-varying Distribution Problemsmentioning
confidence: 99%
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“…Effective method of congestion management in network systems is a challenge widely reported in the literature [1], [2], [3], [4], [5]. This phenomenon affects different sorts of transmission grids.…”
Section: Introductionmentioning
confidence: 99%
“…Due to the inhomogeneity among individual cells, subjecting a power battery group to several charging or discharging cycles can cause some of the cells to overcharge or overdischarge during use, which can degrade the group performance, shorten its lifetime, and even pose a safety hazard. To prolong the battery group lifetime, power battery equalization must be realized [2][3][4][5][6][7].…”
Section: Introductionmentioning
confidence: 99%