Parameterization of Suboptimal Solutions of the Nehari Problem for Infinite-Dimensional Systems

Kashima K.; Yamamoto Y.; Ozbay H.

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Parameterization of Suboptimal Solutions of the Nehari Problem for Infinite-Dimensional Systems

机译：无限维系统Nehari问题的次优解的参数化

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The Nehari problem plays an important role in Hinfin control theory. It is well known that Hinfin control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier solutions of this problem are seen to be special cases of this new parameterization. It is also shown that for finite impulse response systems this parameterization takes a particularly simple form.

机译：Nehari问题在Hinfin控制理论中起着重要作用。众所周知，可以将Hinfin控制问题简化为解决该问题的方法。此注释给出了一类无限维系统Nehari问题的所有次优解的参数化。该问题的许多较早解决方案被视为此新参数化的特殊情况。还显示出，对于有限的脉冲响应系统，该参数化采取特别简单的形式。

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《IEEE Transactions on Automatic Control》 |2007年第12期|p.2369-2374|共6页
作者
Kashima K.; Yamamoto Y.; Ozbay H.;
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正文语种 eng
中图分类自动化系统;
关键词
Hinfin control; multidimensional systems; suboptimal control; Hinfin control theory; Nehari problem; finite impulse response systems; infinite-dimensional systems; suboptimal solution parameterization; Delay systems; Nehari problem; infinite-;

机译：Hinfin控制;多维系统;次优控制;Hinfin控制理论;Nehari问题;有限冲激响应系统;无限维系统;次优解参数化;时滞系统;Nehari问题;无限-;

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1. State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems [J] . Ball JA, Mikkola KM, Sasane AJ SIAM Journal on Control and Optimization . 2005,第2期

机译：非指数稳定无限维系统的Nehari-Takagi问题的状态空间公式
2. Nehari problems and equalizing vectors for infinite-dimensional systems [J] . Iftime O., Zwart H. Systems and Control Letters . 2002,第3期

机译：无限维系统的Nehari问题和均衡向量
3. State Space Formulas for a Solution of the Suboptimal Nehari Problem on the Unit Disc [J] . Ruth F. Curtain, Mark R. Opmeer Integral equations and operator theory . 2009,第1期

机译：单位圆片上次优Nehari问题解的状态空间公式
4. The Nehari problem for discrete-time infinite-dimensional systems [C] . Curtain Ruth F., Opmeer Mark R. European Control Conference . 2007

机译：离散时间无穷维系统的Nehari问题
5. Applications of nonautonomous infinite-dimensional systems control theory for parabolic PDEs. [D] . Ng, James Choon-sun. 2013

机译：非自治无限维系统控制理论在抛物线偏微分方程中的应用。
6. Entropy exchange for infinite-dimensional systems [O] . Zhoubo Duan, Jinchuan Hou -1

机译：无限维系统的熵交换
7. Parameterization of suboptimal solutions of the Nehari problem for infinite-dimensional systems [O] . Kashima, K., Yamamoto, Y., Özbay H. 2007

机译：无限维系统Nehari问题的次优解的参数化
8. Nehari Problem for Infinite-Dimensional Linear Systems of Parabolic Type [R] . Curtain, R. F., Ichikawa, A. 1994

机译：抛物型无限维线性系统的Nehari问题

Parameterization of Suboptimal Solutions of the Nehari Problem for Infinite-Dimensional Systems

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