Mathematical Modeling of Smart Space for Context-Aware System: Linear Algebraic Representation of State-Space Method Based Approach

A smart space is embedded with several components such as sensors, actuators, and computing devices that enable the sensing and control of the environment, and the inhabitants interact with the devices in the smart space whenever they need to. To model a smart space, a dynamic relationship needs to...

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Bibliographic Details
Published in:Mathematical problems in engineering 2016-01, Vol.2016 (2016), p.1-8
Main Authors: Yang, Sunghyun, Hoque, M. Robiul, Kabir, M. Humayun
Format: Article
Language:English
Subjects:
Actuators
Aerospace environments
Algebra
Algorithms
Ambient intelligence
Boolean
Coefficients
Context
Control systems
Devices
Engineering
Equations of state
Inhabitants
Linear algebra
Logic
Mathematical analysis
Mathematical models
Representations
Smart sensors
State space models
Variables
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Summary:A smart space is embedded with several components such as sensors, actuators, and computing devices that enable the sensing and control of the environment, and the inhabitants interact with the devices in the smart space whenever they need to. To model a smart space, a dynamic relationship needs to be established among the elements of the space whereby the interactions with devices are considered a dynamic-process state. In this paper, a linear model of a smart space is presented using a state equation, where the two coefficient matrices L and H need to be defined to model the smart space, and the coefficient matrix L is used to determine the states of the devices; similarly, the situation of the smart space is determined using coefficient H . An algorithm is presented to make a linear model from the logical functions that are used to describe the system. This model is flexible in terms of the control of the smart-space environment because the environmental factors are represented by a matrix element. This linear smart-space model is helpful for the control of a context-aware system, and we use an example to illustrate the effectiveness of the proposed model.
ISSN:1024-123X
1563-5147
DOI:10.1155/2016/8325054