Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces

Alami Louati D.; Ouzahra M.

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Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces

机译：有限和无限维空间中离散时间双线性系统的可控性

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摘要

In the first instance, we prove that in a Banach state space of infinite dimensional; discrete bilinear systems are uncontrollable and we examine the control of the projections of the state on finite-dimensional subspaces. Then we generalize finite-dimensional results on near-controllability established by Tie and Cai in [21] and [22]. Finally, we provide illustrative examples.

机译：首先，我们证明了在无限维的Banach状态空间中；离散双线性系统是不可控制的，我们研究了有限维子空间上状态投影的控制。然后，我们概括了Tie和Cai在 [21] 和 [22] 。最后，我们提供说明性示例。

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《Automatic Control, IEEE Transactions on》 |2014年第9期|2491-2495|共5页
作者
Alami Louati D.; Ouzahra M.;
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正文语种 eng
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Aerospace electronics; Barium; Controllability; Eigenvalues and eigenfunctions; Nonlinear systems; Polynomials; Controllability; Discrete time bilinear system; controllability; discrete time bilinear system; near-controllability;

机译：航空电子钡;可控性特征值和特征函数;非线性系统多项式可控性离散时间双线性系统;可控性离散时间双线性系统接近可控性;

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专利

1. FRACTIONAL FINITE TIME DELAY EVOLUTION SYSTEMS AND OPTIMAL CONTROLS IN INFINITE-DIMENSIONAL SPACES [J] . JINRONG WANG, WEI WEI, YONG ZHOU Journal of Dynamical and Control Systems . 2011,第4期

机译：无限空间中的分数阶有限时间演化系统和最优控制
2. Fractional finite time delay evolution systems and optimal controls in infinite-dimensional spaces [J] . Journal of Dynamical and Control Systems . 2011,第4期

机译：无限维空间中的分数阶有限时滞演化系统和最优控制
3. On controllability, near-controllability, controllable subspaces, and nearly-controllable subspaces of a class of discrete-time multi-input bilinear systems [J] . Tie Lin Systems and Control Letters . 2016,第Null期

机译：关于一类离散时间多输入双线性系统的可控制性，近可控制性，可控制子空间和近可控制子空间
4. Finite-dimensional H∞ controllers for a class of infinite-dimensional discrete-time systems [C] . Sano Hideki European Control Conference . 1999

机译：一类无穷维离散时间系统的有限维H ∞控制器
5. Control of infinite dimensional bilinear systems: Applications to quantum control systems. [D] . Zhang, Qin. 2009

机译：无限维双线性系统的控制：在量子控制系统中的应用。
6. A generalization of Fatou’s lemma for extended real-valued functions on σ-finite measure spaces: with an application to infinite-horizon optimization in discrete time [O] . Takashi Kamihigashi -1

机译：σ有限度量空间上扩展实值函数的Fatou引理的推广：应用于离散时间的无限水平优化
7. Finite-Dimensional Direct Adaptive Control for Discrete-Time Infinite-Dimensional Linear Systems [O] . Balas M.J. 1995

机译：离散无限维线性系统的有限维直接自适应控制
8. Optimal Projection Equations for Finite-Dimensional Fixed-Order H2-Optimal Control of Infinite-Dimensional Discrete-Time Systems [R] . Dan Barb, F., de Koning, W. L. 1993

机译：无限维离散时间系统有限维定阶H2最优控制的最优投影方程

Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces

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