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Synchronization for Wave Equations with Locally Distributed Controls

This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in two parts. Part I is devoted to internal controls, while Part II treats the case of mixed internal and boundary controls. The authors present necessary mat...

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Hlavní autoři: Li, Tatsien (Autor), Rao, Bopeng (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Vydání:1st ed. 2024.
Edice:Series in Contemporary Mathematics, 5
Témata:
System theory.
Control theory.
Differential equations.
Functional analysis.
Systems Theory, Control.
Differential Equations.
Functional Analysis.
On-line přístup:https://doi.org/10.1007/978-981-97-0992-2
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Obsah:
  • 1. Introduction
  • 2. Algebraic preliminaries
  • 3. Approximate internal controllability
  • 4. Indirect internal controls
  • 5. Approximate internal synchronization
  • 6. Approximate internal synchronization by groups
  • 7. Exact internal controllability
  • 8. Exact internal synchronization
  • 9. Stability of exact internal synchronization
  • 10. Exact internal synchronization by groups
  • 11. Stability of exact internal synchronization by groups
  • 12. Family of exact internal synchronizations
  • 13. Approximate mixed controllability
  • 14. Approximate mixed synchronization by groups
  • 15. Exact mixed controllability
  • 16. Exact mixed synchronization by groups.

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