Annular Domain Finite-Time Connective Control for Large-Scale Systems With Expanding Construction

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Abstract
This article focuses on an annular domain finite-time connectively bounded (ADFTCB) problem for a large-scale system with expanding construction (LSWEC). The LSWEC is built via adding new subsystems into the original system which is operating. Inspired by the notion of finite-time annular domain stability (FTADS), a new concept, ADFTCB, is presented in this article, and it is extended to LSWEC for the first time. First of all, the mathematical models of LSWEC and LSWEC with observer are built, and then the corresponding decentralized state-feedback stabilizers and output-feedback stabilizers with observers are designed with the aid of finite-time Lyapunov theory and linear matrix inequality (LMI) method which can make the closed-loop system ADFTCB. A simulation study is provided to demonstrate the feasibility and effectiveness of the presented strategy.
Funding Information
  • China Postdoctoral Science Foundation (2019M662812)
  • National Natural Science Funds of China (61773108, 61903092)
  • Natural Sciences and Engineering Research Council of Canada (RGPIN-2017-05367)
  • National Natural Science Foundation of Liaoning province (20180550319)

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