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Once the system graph is obtained, the problem of graph partitioning is then solved.
Open image in new window Figure 8 Optimal system graph (0% capacity shortage).
Now, the initial problem is converted into the problem of finding matches in the system graph for the pattern graph.
To reduce the exploration space, based on a predetermined set of criteria, the system graph is broken into the possible subsystem graphs.
ROS systems are then generalised to component libraries for any ROS architecture and an abstract model as a "system graph" is introduced.
Consequently, this improved algorithm, which is called islanding cutset search algorithm, can be used to search power system graph models for islands.
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In particular, the inertial and centrifugal forces that arise in connection with accelerated or curvilinear motions had been interpreted by Newton as effects of such motions with respect to a privileged reference medium imagined as an absolute Cartesian mesh system graphed upon a real space.
It enables a full automatization of the process of finding trees of mechanical system graphs and, therefore, it constitutes a valuable complement to topological methods.
It proves superior performance for a set of system graphs featuring specific properties found in human-made task graphs, since it exploits their typical characteristics such as locality, sparsity, and their degree of parallelism.
A distributed adaptive control scheme is constructed by combining Lyapunov Krasovskii functionals, backstepping methods, neural networks (NNs), auxiliary systems, graph theory, the mean value theorem and the implicit function theory along with the dynamic surface control (DSC) technique.
Unlike seed-based functional connectivity and sICA, which focus on a specific functional system s), graph theory usually explores the topological properties, such as small-world, modular structure and highly connected hubs, of the entire brain.
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