Stabilizability and Controllability of Spatially Invariant P.D.E. Systems

Curtain R.F.

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Stabilizability and Controllability of Spatially Invariant P.D.E. Systems

机译：空间不变P.D.E.的稳定性和可控制性系统篇

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In this paper, we derive new readily testable criteria for exponential stabilizability, approximate controllability, and exact controllability for multiplicative systems arising from linear partial differential equations on an infinite domain. These multiplicative systems have an unbounded semigroup generator, but bounded input and output operators. The theoretical results are illustrated by several examples. In particular, explicit, easily verifiable conditions for exponential stabilizability, approximate and exact controllability are given for second-order P.D.E. systems. Dual results for exponential detectability, approximate and exact observability are also included.

机译：在本文中，我们得出了无限域上线性偏微分方程所引起的乘法系统指数稳定性，近似可控制性和精确可控制性的易于检验的新标准。这些乘法系统具有无界的半群生成器，但有界的输入和输出运算符。几个例子说明了理论结果。尤其是对于二阶P.D.E.给出了指数稳定性，近似和精确可控制性的明确，易于验证的条件。系统。还包括指数可检测性，近似和精确可观察性的双重结果。

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《Automatic Control, IEEE Transactions on》 |2015年第2期|383-392|共10页
作者
Curtain R.F.;
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正文语种 eng
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关键词
Controllability; Generators; Hilbert space; Observability; Riccati equations; Zinc; Controllability; distributed parameter systems; spatially invariant systems; stabilizability;

机译：可控性发电机希尔伯特空间可观性Riccati方程锌可控性分布参数系统空间不变系统稳定性;

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Stabilizability and Controllability of Spatially Invariant P.D.E. Systems

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