EXACT CONTROLLABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH INTERNAL CONTROLS

KAILI ZHUANG; TATSIEN LI; BOPENG RAO

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EXACT CONTROLLABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH INTERNAL CONTROLS

机译：具有内部控制的一阶拟线性双曲系统的精确可控性

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摘要

Based on the theory of the local exact boundary controllability for first order quasilinear hyperbolic systems, using an extension method, the authors establish the exact controllability in a shorter time by means of internal controls acting on suitable domains. In particular, under certain special but reasonable hypotheses, the exact controllability can be realized only by internal controls, and the control time can be arbitrarily small.

机译：基于局部精确边界控制性的理论，使用延伸方法，作者通过作用于合适域的内部控制，在较短的时间内建立确切的可控性。特别地，在某些特殊但合理的假设下，可以仅通过内部控制来实现确切的可控性，并且控制时间可以任意小。

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来源
《Discrete and continuous dynamical systems》 |2016年第2期|1105-1124|共20页
作者
KAILI ZHUANG; TATSIEN LI; BOPENG RAO;
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作者单位

School of Mathematical Sciences Fudan University Shanghai 200433 China;

School of Mathematical Sciences Fudan University Shanghai 200433 China Shanghai Key Laboratory of Contemporary Applied Mathematics Nonlinear Mathematical Modeling and Methods Laboratory Institut de Recherche Mathématique Avancée and Université Louis Pasteur de Strasbourg 67084 Strasbourg France;

School of Mathematical Sciences Fudan University Shanghai 200433 China Shanghai Key Laboratory of Contemporary Applied Mathematics Nonlinear Mathematical Modeling and Methods Laboratory Institut de Recherche Mathématique Avancée and Université Louis Pasteur de Strasbourg 67084 Strasbourg France;

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正文语种 eng
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关键词
First order quasilinear hyperbolic system; C~1 classical solution; local exact controllability; boundary control; internal control;

机译：一阶Quasilinear双曲线系统;C〜1古典解决方案;局部确切的可控性;边界控制;内部控制;

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1. Exact controllability of nodal profile for 1‐D first order quasilinear hyperbolic systems with internal controls [J] . Zhuang Kaili Mathematical Methods in the Applied Sciences . 2017,第18期

机译：内部控制的1-D第一阶准双曲线系统节点型材的精确可控性
2. Exact Controllability with Internal Controls for First-Order Quasilinear Hyperbolic Systems with Zero Eigenvalues [J] . Kaili ZHUANG 数学年刊B辑（英文版） . 2016,第004期

机译：具有零特征值的一阶拟线性双曲系统与内部控制的精确可控制性
3. Exact internal controllability of nodal profile for first order quasilinear hyperbolic systems [J] . Zhuang Kaili Nonlinear Analysis: An International Multidisciplinary Journal . 2017,第期

机译：一阶拟线性双曲系统节点谱的确切内部可控性
4. One-side Exact Boundary Controllability for First Order Quasilinear Hyperbolic Systems [C] . YU Lixin Proceedings of the 29th Chinese Control Conference . 2010

机译：一阶拟线性双曲系统的单边精确边界可控性
5. Controlling molecular-scale motion: Exact predictions for driven stochastic systems. [D] . Horowitz, Jordan Michael Abel. 2010

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6. Exact results for Schrödinger cats in driven-dissipative systems and their feedback control [O] . Fabrizio Minganti, Nicola Bartolo, Jared Lolli, -1

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7. Internal controllability of first order quasilinear hyperbolic systems with a reduced number of controls [O] . Alabau-Boussouira, Fatiha, Coron, Jean-Michel, Olive, Guillaume 2017

机译：具有减少的控制数量的一阶拟线性双曲系统的内部可控性

EXACT CONTROLLABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH INTERNAL CONTROLS

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