Control problems for weakly coupled systems with memory

Paola Loreti; Daniela Sforza

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Control problems for weakly coupled systems with memory

机译：带存储器的弱耦合系统的控制问题

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摘要

We investigate control problems for wave-Petrovsky coupled systems in the presence of memory terms. By writing the solutions as Fourier series, we are able to prove Ingham type estimates, and hence reachability results. Our findings have applications in viscoelasticity theory and linear acoustic theory.

机译：我们调查存在内存项时Wave-Petrovsky耦合系统的控制问题。通过将解决方案编写为傅里叶级数，我们可以证明Ingham类型估计，从而证明可达性结果。我们的发现在粘弹性理论和线性声学理论中都有应用。

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来源
《Journal of Differential Equations》 |2014年第6期|共60页
作者
Paola Loreti; Daniela Sforza;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Coupled systems; Convolution kernels; Fourier series; Ingham estimates; Reachability;

机译：耦合系统;卷积核;傅立叶级数;英厄姆估计;可达性;

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专利

1. Control problems for weakly coupled systems with memory [J] . Paola Loreti, Daniela Sforza Journal of Differential Equations . 2014,第6期

机译：带存储器的弱耦合系统的控制问题
2. Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application [J] . Lu Xing Mathematical Methods in the Applied Sciences . 2016,第4期

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3. A two-level energy method for indirect boundary observability and controllability of weakly coupled hyperbolic systems [J] . Alabau-Boussouira F. SIAM Journal on Control and Optimization . 2003,第3期

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4. Weakly coupled event triggered output feedback control in wireless networked control systems [C] . Li Lichun, Lemmon Michael 2011 49th Annual Allerton Conference on Communication, Control, and Computing . 2011

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5. Sliding mode control of discrete-time weakly coupled systems. [D] . Gopala, Prashanth Kumar. 2011

机译：离散时间弱耦合系统的滑模控制。
6. Design optimization of transmitting antennas for weakly coupled magnetic induction communication systems [O] . Nikolay Tal, Yahav Morag, Lisa Shatz, -1

机译：弱耦合磁感应通信系统发射天线的设计优化
7. Control problems for weakly coupled systems with memory [O] . Paola Loreti, Daniela Sforza 2014

机译：带存储器的弱耦合系统的控制问题
8. On Stochastic Control System DesigN Methods for Weakly Coupled Large Scale Linear Systems [R] . Kwong, R., Chong, C. Y., Athans, M. 1971

机译：弱耦合大系统线性系统的随机控制系统设计方法

Control problems for weakly coupled systems with memory

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