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 ofnodal profile for 1-D quasilinear hyperbolic systems.
Les mer
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.
First Order Quasilinear Hyperbolic Systems.- Quasilinear Wave Equations.- Semi-global Piecewise Classical Solutions on a Tree-like Network.- Exact Boundary Controllability of Nodal Prole for 1-D First Order Quasilinear Hyperbolic Systems.- Exact Boundary Controllability of Nodal Prole for 1-D First Order Quasilinear Hyperbolic Systems on a Tree-like Network.- Exact Boundary Controllability of Nodal Prole for 1-D Quasilinear Wave Equations.- Exact Boundary Controllability of Nodal Prole for 1-D Quasilinear Wave Equations on a Planar Tree-like Network of Strings
Les mer
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 Includes supplementary material: sn.pub/extras
Les mer
GPSR Compliance
The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this.
If you have any concerns about our products you can contact us on ProductSafety@springernature.com.
In case Publisher is established outside the EU, the EU authorized representative is:
Springer Nature Customer Service Center GmbH
Europaplatz 3
69115 Heidelberg, Germany
ProductSafety@springernature.com
Les mer
Produktdetaljer
ISBN
9789811028410
Publisert
2016-11-17
Utgiver
Vendor
Springer Verlag, Singapore
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet