2021/03/18 by Yitao Yan, Jie Bao, Yan, Yitao +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #Advanced Control Systems Optimization #Artificial intelligence #Computer science #Control (management) #Control Systems and Identification #Control theory (sociology) #Controller (irrigation) #Core (optical fiber) #Distributed computing #Dynamical systems theory #FOS: Electrical engineering #Gene Regulatory Network Analysis #Perspective (graphical) #Representation (politics) #Set (abstract data type) #Systems and Control (eess.SY) #Theoretical computer science #cs.SY #eess.SY #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2103.10063
published in arXiv (Cornell University) (Cornell University)
arxiv created 2021/03/18 · openalex publication_date 2021/03/18 · arxiv updated 2021/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper formulates a framework for the analysis and distributed control of interconnected systems from the behavioural perspective. The discussions are carried out from the viewpoint of set theory and the results are completely representation-free. The core of a dynamical system can be represented as the set of all trajectories admissible through the system and interconnections are interpreted as constraints on the choice of trajectories. We develop a structure in which the interconnected behaviour can be directly built from the behaviours of the subsystems in an explicit way without any presumed forms of representations. We show that the interconnected behaviour can also be fully obtained from local observations of the subsystem. Furthermore, we develop the necessary and sufficient conditions for the existence of distributed controller behaviours and their explicit construction. Due to the entirely representation-free nature of this framework, it unites various representations and descriptions of features of dynamical systems (e.g. models, dissipativity, data, etc.) as behaviours, allowing for the formation of a unified platform for the analysis and distributed control for interconnected systems.