Part of the book series: Series in Contemporary Mathematics ((SCMA,volume 5))

  • 38 Accesses

Abstract

In this chapter we consider the exact synchronization by groups under mixed controls, and study the necessity of the condition of \(C_p\)-compatibility by groups, the dependence of exactly synchronizable state by groups with respect to applied controls etc.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Li, T.-T., Rao, B.-P.: Exact controllability and synchronization for a coupled system of wave equations with mixed internal and boundary controls, to appear

    Google Scholar 

  2. Lions, J.-L.: Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires. Dunod, Gauthier-Villars, Paris (1969)

    Google Scholar 

  3. Simon, J.: Compact sets in the space \(L^p(0, T; B)\). Ann. Mat. Pura Appl. 146, 65–97 (1986)

    Article  Google Scholar 

  4. Brezis, H.: Functional Analysis. Sobolev Spaces and Partial Differential Equations, Springer, New York (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tatsien Li .

Rights and permissions

Reprints and permissions

Copyright information

© 2024 Shanghai Scientific and Technical Publishers

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Li, T., Rao, B. (2024). Exact Mixed Synchronization by Groups. In: Synchronization for Wave Equations with Locally Distributed Controls. Series in Contemporary Mathematics, vol 5. Springer, Singapore. https://doi.org/10.1007/978-981-97-0992-2_16

Download citation

Publish with us

Policies and ethics

Navigation