Weak and strong stabilisation of bilinear systems in a Banach space

Benzaza A.; Ouzahra M.

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Weak and strong stabilisation of bilinear systems in a Banach space

机译：Banach空间中双线性系统疲软和强大稳定

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摘要

In this paper, we study the feedback stabilisation of homogeneous bilinear systems on a Banach state-space. Sufficient conditions for weak and strong stabilisation are given. A decay rate of the stabilised state is explicitly estimated. Applications to heat and transport equations are provided.

机译：在本文中，我们研究了在Banach状态空间上的均匀双线性系统的反馈稳定。给出了弱和强稳定的充分条件。明确估计稳定状态的衰减率。提供了加热和传输方程的应用。

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来源
《International Journal of Control》 |2019年第12期|共7页
作者
Benzaza A.; Ouzahra M.;
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作者单位

Univ Sidi Mohamed Ben Abdellah ENS Dept Math &

Informat MASI Lab Fes Morocco;

Univ Sidi Mohamed Ben Abdellah ENS Dept Math &

Informat MASI Lab Fes Morocco;

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原文格式 PDF
正文语种 eng
中图分类控制论、信息论（数学理论）;自动控制、自动控制系统;
关键词
Infinite bilinear systems; feedback stabilisation; Banach space; duality mapping;

机译：无限双线性系统;反馈稳定;Banach空间;二元映射;

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专利

1. Weak and strong stabilisation of bilinear systems in a Banach space [J] . Benzaza A., Ouzahra M. International Journal of Control . 2019,第10a12期

机译：Banach空间中双线性系统疲软和强大稳定
2. Strong and Weak Convergence Theorems for Equilibrium Problems and Weak Relatively Uniformly Nonexpansive Multivalued Mappings in Banach Spaces [J] . Zi-MingWang Abstract and applied analysis . 2012,第6期

机译：Banach空间中平衡问题和相对一致的非扩张型多值映射的强弱收敛定理
3. Strong stabilisation and decay estimate for unbounded bilinear systems [J] . Ayadi R.E., Ouzahra M., Boutoulout A. International Journal of Control . 2012,第10a12期

机译：无界双线性系统的强大稳定性和衰减估计
4. Strong convergence theorem for an equilibrium problem and a relatively nonexpansive mapping in Banach spaces [C] . Xiufang Liu International conference on computer design and applications . 2011

机译：Banach空间中一个平衡问题的强收敛定理和一个相对非扩张映射
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. REPRESENTATIONS OF WEAK AND STRONG INTEGRALS IN BANACH SPACES [O] . James K. Brooks 1969

机译：Banach空间中弱积分和强积分的表示
7. STRONG AND WEAK CONVERGENCE THEOREMS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS IN BANACH SPACES(The structure of Banach spaces and Function spaces) [O] . 厚芝幸子 2006

机译：Banach空间中非可映射映象的强弱收敛定理（Banach空间和函数空间的结构）
8. A Strong Law of Large Numbers for Weakly Orthogonal Sequences of Banach-Space Valued Random Variables [R] . Beck, A., Warren, P. 1968

机译：Banach空间值随机变量弱正交序列的强大数定律

Weak and strong stabilisation of bilinear systems in a Banach space

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