Lyapunov stability Analysis of multi-body adaptation in the ternary spatial domain of IoT

Lyapunov stability Analysis of multi-body adaptation in the ternary spatial domain of IoT

Eliza Li

Based on the environment of "Human (H)-Machine (M)-Object (T)", the corresponding {user requirement domain, the three-dimensional architecture of information space domain, physical space domain}, and the dynamic interaction pattern of {control flow, data stream and perceptual flow}. By means of functional analysis and Lyapunov stability analysis, this paper this paper presents a multi-subject adaptive control algorithm for the three-dimensional domain of IoT in the mathematical abstraction, in order to establish a cooperative adaptation mechanism based on dynamics system among ternary subjects, which provides the fundamental prerequisite for realizing the technology concept of multi-domain fusion and sharing in the IoT. It also provides a theoretical basis for the application feasibility of the IoT system in the field of engineering practice. Through theoretical deduction and algorithm analysis, we find the existence inevitability of the multi-agent adaptation steady state in any interconnection system, and thus form the feasible criterion for constructing the state adaptation mechanism of ternary subject in the application scene. It is proved that the rationality of the multi-body adaptation mechanism in the three-dimensional spatial domain of IoT is solved by constructing the Lyapunov vector function and using the LaSalle invariant principle.

Lyapunov stability Analysis of multi-body adaptation in the ternary spatial domain of IoT