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Decentralized Finite-Time Connective Control for a Class of Large-Scale Systems with Different Structural Forms

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  • Xiaohua Li
  • Yang Liu
  • Xiaoping Liu

Abstract

Decentralized finite-time connective control problem for a class of large-scale interconnected systems is studied in this paper. The research aims at two structural forms, namely, the interconnected structure and the one with expanding construction. A new method is proposed to design a decentralized state feedback control law for a large-scale interconnected system so that the closed-loop system is finite-time connectively bounded. The sufficient conditions for the existence of such a decentralized control law are deduced by using LMI method. Another method is presented for a large-scale interconnected system with expanding construction which can be used without changing the decentralized state feedback control law of the original system to design a controller for the newly added subsystem so that both the new subsystem and the resulting expanded system are finite-time connectively bounded. The feasibility and effectiveness of the proposed method are verified by some simulation results.

Suggested Citation

  • Xiaohua Li & Yang Liu & Xiaoping Liu, 2015. "Decentralized Finite-Time Connective Control for a Class of Large-Scale Systems with Different Structural Forms," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:132517
    DOI: 10.1155/2015/132517
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    Cited by:

    1. Leonardo Becchetti & Emanuele Bobbio & Federico Prizia & Lorenzo Semplici, 2022. "Going Deeper into the S of ESG: A Relational Approach to the Definition of Social Responsibility," Sustainability, MDPI, vol. 14(15), pages 1-22, August.

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