A unified observability result for non-autonomous observation problems

被引：0

作者：

Gabel, Fabian ^{[1
]}

Seelmann, Albrecht ^{[2
]}

机构：

[1] TU Hamburg, Inst Math, Am Schwarzenberg Campus 3, D-21073 Hamburg, Germany

[2] TU Dortmund, Fak Math, Vogelpothsweg 87, D-44227 Dortmund, Germany

来源：

ARCHIV DER MATHEMATIK | 2024年 / 122卷 / 02期

关键词：

Banach space; Evolution family; Non-autonomous system; Null-controllability; Observability; Uncertainty principle; Dissipation estimate; Density point;

D O I：

10.1007/s00013-023-01934-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A final-state observability result in the Banach space setting for non-autonomous observation problems is obtained that covers and extends all previously known results in this context, while providing a streamlined proof that follows the established Lebeau-Robbiano strategy.

引用

页码：227 / 239

页数：13

共 50 条

[41] A fast computing method to distinguish the hyperbolic trajectory of an non-autonomous system [J].

Jia Meng ;

Fan Yang-Yu ;

Tian Wei-Jian .

CHINESE PHYSICS B, 2011, 20 (03)

[42] An integral control for synchronization of a class of unknown non-autonomous chaotic systems [J].

Lee, D. W. ;

Yoo, W. J. ;

Won, S. C. .

PHYSICS LETTERS A, 2010, 374 (41) :4231-4237

[43] APPROXIMATE CONTROLLABILITY OF NONLOCAL PROBLEM FOR NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS [J].

Chen, Pengyu ;

Zhang, Xuping .

EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (03) :471-489

[44] PERIODIC SOLUTIONS TO NON-AUTONOMOUS EVOLUTION EQUATIONS WITH MULTI-DELAYS [J].

Chen, Pengyu .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (06) :2921-2939

[45] Controllability analysis for a class of piecewise nonlinear impulsive non-autonomous systems [J].

Yan, Jiayuan ;

Zhang, Ding-Xue ;

Hu, Bin ;

Guan, Zhi-Hong ;

Chen, Guanrong ;

Cheng, Xin-Ming .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (02) :567-582

[46] Design and Study of Memristor based Non-autonomous Chua's circuit [J].

Basha, Tawfiq ;

Mohamed, I. Raja ;

Chithra, A. .

2018 4TH INTERNATIONAL CONFERENCE ON DEVICES, CIRCUITS AND SYSTEMS (ICDCS), 2018, :203-206

[47] A fast computing method to distinguish the hyperbolic trajectory of an non-autonomous system [J].

贾蒙 ;

樊养余 ;

田维坚 .

Chinese Physics B, 2011, 20 (03) :299-303

[48] Representation of infinite-dimensional neutral non-autonomous control systems [J].

Elharfi, Abdelhadi ;

Bounit, Hamid ;

Hadd, Said .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) :497-512

[49] Exponential Stability of Non-autonomous Systems with Time Delay on Time Scales [J].

Lu Xiaodong ;

Wang Yuzhen ;

Zhao Yige .

PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, :1476-1480

[50] Asymptotic Stability of Non-Autonomous Systems and a Generalization of Levinson's Theorem [J].

Lee, Min-Gi .

MATHEMATICS, 2019, 7 (12)

← 1 2 3 4 5 →