Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Other Sciences, System Theory, Reference & Language, Reference
Cover of the book Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems by Tatsien Li, Ke Wang, Qilong Gu, Springer Singapore
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Author: Tatsien Li, Ke Wang, Qilong Gu ISBN: 9789811028427
Publisher: Springer Singapore Publication: November 8, 2016
Imprint: Springer Language: English
Author: Tatsien Li, Ke Wang, Qilong Gu
ISBN: 9789811028427
Publisher: Springer Singapore
Publication: November 8, 2016
Imprint: Springer
Language: English

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.

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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.

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