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This chapter introduces the finite-time synchronization of time-delayed systems, which is different from the synchronization of systems without delay. Due to the time delays, the traditional finite-time stability theorem cannot be applied to the synchronization goal. With the help of the sign function method, finite-time synchronization is discussed in different environments with specific constraints. Sufficient conditions guaranteeing finite-time synchronization are strictly derived in each subsection.

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Finite-Time Control of Continuous Systems with Delay

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  • 发表日期：

    2025年

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  • Xinsong Yang,
  • Yaping Sun,
  • Rongqiang Tang,
  • Meijie Zhang

摘要

This chapter introduces the finite-time synchronization of time-delayed systems, which is different from the synchronization of systems without delay. Due to the time delays, the traditional finite-time stability theorem cannot be applied to the synchronization goal. With the help of the sign function method, finite-time synchronization is discussed in different environments with specific constraints. Sufficient conditions guaranteeing finite-time synchronization are strictly derived in each subsection.