A New Stability Criterion for IoT Systems in Smart Buildings: Temperature Case Study

Roberto Casado-Vara, Angel Martín del Rey, Ricardo S. Alonso, Saber Trabelsi and Juan M. Corchado
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Roberto Casado-Vara: BISITE Research Group, University of Salamanca, 37008 Salamanca, Spain
Angel Martín del Rey: Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, 37008 Salamanca, Spain
Ricardo S. Alonso: BISITE Research Group, University of Salamanca, 37008 Salamanca, Spain
Saber Trabelsi: Science Program, Texas A&M University at Qatar, Education City, Doha 23874, Qatar
Juan M. Corchado: BISITE Research Group, University of Salamanca, 37008 Salamanca, Spain

Mathematics, 2020, vol. 8, issue 9, 1-13

Abstract: The concept of smart cities emerged in the 1990s. Since then, smart buildings have become a closely interconnected element of smart cities. This type of building implements Internet of Things technology and control algorithms to monitor and control their indoor environment. The aim of this paper is to develop a new stability criterion method for smart building Internet of Things (IoT) systems, subject to external disturbances. The new stability criterion is going to optimize the operation of control algorithms since this criterion does not depend on the transmission function of the control algorithm but on the data collected by the IoT system. We present a new matrix called “Laplacian IoT matrix”, containing IoT network information associated with the graph of a smart building. The proposal is supported by the results of a numerical case study.

Keywords: IoT; external disturbances; stability criterion; graph theory; Laplacian matrix (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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