Partial differential equations (PDEs) are commonly used to model various phenomena involved in space and time in different fields, such as engineering science, quantum mechanics, financial mathematics and so on. This chapter introduces several PDE systems and cutting-edge control techniques for PDEs. Furthermore, the time-delay approach to sampled-data control is introduced, offering an effective way to address the stabilization problems of PDE systems.

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Introduction

  • Wen Kang,
  • Emilia Fridman

摘要

Partial differential equations (PDEs) are commonly used to model various phenomena involved in space and time in different fields, such as engineering science, quantum mechanics, financial mathematics and so on. This chapter introduces several PDE systems and cutting-edge control techniques for PDEs. Furthermore, the time-delay approach to sampled-data control is introduced, offering an effective way to address the stabilization problems of PDE systems.