Exact Controllability and Exact Observability for Quasilinear Hyperbolic Systems: Known Results and Open Problems

Series in Contemporary Applied Mathematics - Some Problems on Nonlinear Hyperbolic Equations and Applications ◽

10.1142/9789814322898_0016 ◽

2010 ◽

pp. 374-385 ◽

Author(s):

Tatsien Li ◽

Bopeng Rao

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Open Problems ◽

Quasilinear Hyperbolic Systems ◽

Exact Observability

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Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-010-0600-9 ◽

2010 ◽

Vol 31 (5) ◽

pp. 723-742 ◽

Author(s):

Tatsien Li ◽

Bopeng Rao

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Quasilinear Hyperbolic Systems ◽

Exact Observability

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Exact controllability for first order quasilinear hyperbolic systems with internal controls

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.1105 ◽

2015 ◽

Vol 36 (2) ◽

pp. 1105-1124 ◽

Author(s):

Kaili Zhuang ◽

Tatsien Li ◽

Bopeng Rao

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Internal Controls ◽

Quasilinear Hyperbolic Systems ◽

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Exact Controllability for Nonautonomous First Order Quasilinear Hyperbolic Systems*

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-005-0520-2 ◽

2006 ◽

Vol 27 (6) ◽

pp. 643-656 ◽

Author(s):

Zhiqiang Wang

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Quasilinear Hyperbolic Systems ◽

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Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-016-0974-4 ◽

2016 ◽

Vol 37 (4) ◽

pp. 503-514 ◽

Author(s):

Kaili Zhuang

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Internal Controls ◽

Quasilinear Hyperbolic Systems ◽

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Exact Controllability for First Order Quasilinear Hyperbolic Systems with Zero Eigenvalues

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959903000414 ◽

2003 ◽

Vol 24 (04) ◽

pp. 415-422 ◽

Author(s):

Tatsien Li ◽

Lixin Yu

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Quasilinear Hyperbolic Systems ◽

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Global Exact Controllability of a Class of Quasilinear Hyperbolic Systems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6037 ◽

1998 ◽

Vol 225 (1) ◽

pp. 289-311 ◽

Author(s):

Ta-tsien Li ◽

Bing-Yu Zhang

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Quasilinear Hyperbolic Systems

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Exact controllability for quasilinear hyperbolic systems and its application to unsteady flows in a network of open canals

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.488 ◽

2004 ◽

Vol 27 (9) ◽

pp. 1089-1114 ◽

Author(s):

Li Tatsien

Keyword(s):

Hyperbolic Systems ◽

Unsteady Flows ◽

Exact Controllability ◽

Quasilinear Hyperbolic Systems

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Exact controllability for first order quasilinear hyperbolic systems with vertical characteristics

Acta Mathematica Scientia ◽

10.1016/s0252-9602(09)60082-5 ◽

2009 ◽

Vol 29 (4) ◽

pp. 980-990 ◽

Author(s):

Li Tatsien ◽

Rao Bopeng

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Quasilinear Hyperbolic Systems ◽

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Global exact controllability for quasilinear hyperbolic systems of diagonal form with linearly degenerate characteristics

Nonlinear Analysis ◽

10.1016/j.na.2007.05.037 ◽

2008 ◽

Vol 69 (2) ◽

pp. 510-522 ◽

Author(s):

Zhiqiang Wang

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Diagonal Form ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Exact controllability of nodal profile for 1-D first order quasilinear hyperbolic systems with internal controls

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4475 ◽

2017 ◽

Vol 40 (18) ◽

pp. 6565-6580 ◽

Author(s):

Kaili Zhuang

Keyword(s):

Hyperbolic Systems ◽

Exact Controllability ◽

Internal Controls ◽

Quasilinear Hyperbolic Systems ◽

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