G-closures of material sets in space-time and perspectives of dynamic control in the coefficients of linear hyperbolic equations

Konstantin Lurie

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G-closures of material sets in space-time and perspectives of dynamic control in the coefficients of linear hyperbolic equations

机译：时空物质集的G闭包以及线性双曲方程系数的动态控制观点

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The paper is focused on the concept of material mix- ing in dynamics. This concept introduces the spatio-temporal com- posites, i.e. material microstructures assembled and maintained in space-time. The knowledge of the relevant sets of effective material parame- ters (G-closures) is crucial for the purpose of material optimization arising in dynamics of moving media, particularly acoustics and hy- droacoustics, as well as in the high-frequency electronic engineering.

机译：本文的重点是动力学中材料混合的概念。这个概念引入了时空复合物，即时空组装和维护的材料微观结构。有关有效材料参数（G密封件）的相关集合的知识对于在运动介质（尤其是声学和水声）动力学以及高频电子工程中产生的材料优化的目的至关重要。

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来源
《Control and Cybernetics》 |1998年第2期|p.283-294|共12页
作者
Konstantin Lurie;
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正文语种 eng
中图分类控制论、信息论（数学理论）;自动化技术、计算机技术;
关键词
mixing in space-time; spatio-temporal composites; hyperbolic G-closure;

机译：时空混合;时空复合体;双曲线G闭合;

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2. Optimality Conditions for Semilinear Hyperbolic Equations with Controls in Coefficients [J] . Bo Li, Hongwei Lou Applied Mathematics & Optimization . 2012,第3期

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3. Dynamics of a Second-Order Nonlinear Equation with a Large Coefficient of Delay Control [J] . S. A. Kashchenko Doklady. Mathematics . 2014,第1期

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4. Oscillation of Certain Neutral Hyperbolic Partial Functional Differential Equations with Nonlinear Diffusion Coefficient [C] . Wen-Xian LIN International congress on mathematical biology;ICMB2011 . 2011

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5. Essays on Nonparametric Identification: Identification of Dependent Multidimensional Unobserved Variables in a System of Linear Equations Identification and Estimation for Regressions with Errors in All Variables Identification of Nonparametrically Distributed Random Coefficients in Linear Panel Data Models. [D] . Ben-Moshe, Dan. 2012

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6. Restrictions on the coefficients of hyperbolic systems of partial differential equations [O] . Fritz John 1977

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G-closures of material sets in space-time and perspectives of dynamic control in the coefficients of linear hyperbolic equations

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