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SpringerBriefs in Mathematics

Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems

Authors: Li, Tatsien, Wang, Ke, Gu, Qilong

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  • Introduces new and useful controllability to readers
  • Establishes a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems
  • Illerstrate the controllability with a simple constructive method with modular structure
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  • ISBN 978-981-10-2842-7
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Softcover $69.99
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  • ISBN 978-981-10-2841-0
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About this book

This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications.  This kind of controllability is useful in practice as it does not require any precisely given final state to be attained at a suitable time t=T by means of boundary controls, instead it requires the state to exactly fit any given demand (profile) on one or more nodes after a suitable time t=T by means of boundary controls. In this book we present a general discussion of this kind of controllability for general 1-D first order quasilinear hyperbolic systems and for general 1-D quasilinear wave equations on an interval as well as on a tree-like network using a modular-structure construtive method, suggested in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we establish a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • First Order Quasilinear Hyperbolic Systems

    Pages 1-13

    Li, Tatsien (et al.)

  • Quasilinear Wave Equations

    Pages 15-22

    Li, Tatsien (et al.)

  • Semi-global Piecewise Classical Solutions on a Tree-Like Network

    Pages 23-29

    Li, Tatsien (et al.)

  • Exact Boundary Controllability of Nodal Profile for 1-D First Order Quasilinear Hyperbolic Systems

    Pages 31-46

    Li, Tatsien (et al.)

  • Exact Boundary Controllability of Nodal Profile for 1-D First Order Quasilinear Hyperbolic Systems on a Tree-Like Network

    Pages 47-73

    Li, Tatsien (et al.)

Buy this book

eBook $54.99
price for Mexico (gross)
  • ISBN 978-981-10-2842-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for Mexico
  • ISBN 978-981-10-2841-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2016
Publisher
Springer Singapore
Copyright Holder
The Author(s)
eBook ISBN
978-981-10-2842-7
DOI
10.1007/978-981-10-2842-7
Softcover ISBN
978-981-10-2841-0
Series ISSN
2191-8198
Edition Number
1
Number of Pages
IX, 108
Number of Illustrations
27 b/w illustrations
Topics

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