Pietro De Lellis , Fabio Della Rossa , Francesco Lo Iudice , Davide Liuzza
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引用次数: 0
Abstract
When steering the dynamics of network systems, the control design needs to cope with constraints on actuation and sensing, which often imply that the same control input is injected to each node in a given subset, and this input signal is a function of the state of this node subset. This common situation cannot be modeled in terms of standard pairwise interactions on digraphs, and we propose to use directed hypergraphs as the mathematical object suitable to describe this kind of directed, multibody interactions. We apply this framework to the pinning control problem in networks of coupled linear systems, and derive necessary and sufficient conditions for convergence onto the desired trajectory set by the pinner. Furthermore, we provide a dedicated control algorithm to identify the interconnections that are critical for network control.
期刊介绍：
The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field.
The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering.
The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications.
Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results.
The design and implementation of a successful control system requires the use of a range of techniques:
Modelling
Robustness Analysis
Identification
Optimization
Control Law Design
Numerical analysis
Fault Detection, and so on.
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