In Chaps. 3–10, the disagreement behavior analysis is implemented for signed networks with only static interactions among agents. They belong to the class of conventional signed networks represented conveniently by common communication graphs that can simply model their (static) edge weights as (time-varying) scalars (see, e.g., Fig. 11.1(a)). By contrast, there exists a class of network systems subject to dynamic interactions among agents in certain real-world scenarios, especially in the field of large-scale systems that contain interconnected storage elements. The modeling of dynamic interactions falls beyond the framework of conventional signed networks, where the communication channels of them need to be better modeled as (dynamic) edge weights in the presence of linear time-invariant (LTI) systems or transfer functions on their communication graphs (see, e.g., Fig. 11.1(b)). Actually, a more general and attractive class of dynamic signed networks emerges as a consequence. This motivates the current chapter to focus on dealing with the distributed control problem of dynamic signed networks such that some specific disagreement behaviors can be characterized in similar ways as those of conventional signed networks. A notion of the dynamic signed graph is presented to describe the communications among agents with a sign-indicator matrix attaching “signs” to dynamic interactions. Furthermore, a Laplacian-like distributed protocol is proposed by following the nearest neighbor rule, under which the necessary and sufficient conditions can be established for mutually exclusive bipartite consensus and stability behaviors with a newly developed frequency-domain analysis approach. In addition, illustrative examples are also provided to demonstrate the structure properties and convergence results for signed networks subject to dynamic interactions.
Behavior Analysis of Dynamic Signed Networks
Intelligent Control & Learning Systems
2022-12-03
34 pages
Article/Chapter (Book)
Electronic Resource
English
Disagreement Behavior Analysis of Signed Networks
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Buenos Aires - Cordoba contract signed
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