中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Study on Asymptotic Stability of Fractional Singular Systems with Time Delay

文献类型:期刊论文

AuthorLi, Dazi2; Wei, Liming; Song, Tianheng3; Jin, Qibing1,3
SourceINTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Issued Date2019-11-28
Pages10
KeywordFractional Laplacian inverse transform fractional Laplacian transform fractional singular systems nonlinear disturbance stability time delay
ISSN1598-6446
DOI10.1007/s12555-018-0688-3
Corresponding AuthorLi, Dazi(lidz@mail.buct.edu.cn)
English AbstractThe stability of fractional singular systems with time delay is discussed. Considering the singularity of the system, a system is decomposed into two subsystems. Through fractional Laplacian transformation and inverse Laplacian transformation on the subsystems, the expression of the state variables in time domain is obtained. According to the characteristics of Mittag-Leffler function, some inequalities that have important influence on stability are derived. Finally, a new sufficient condition is found to make the fractional singular systems with time delay asymptotically stable when the fractional order belongs to1 < alpha < 2. Meanwhile, the sufficient condition is also obtained to make the system stable under the nonlinear disturbance. All processes are proved and numerical examples are provided to show the validity and feasibility of the proposed method.
Funding ProjectNational Natural Science Foundation of China[61873022] ; National Natural Science Foundation of China[61573052] ; Beijing Natural Science Foundation[4182045]
WOS KeywordDESIGN
WOS Research AreaAutomation & Control Systems
Language英语
PublisherINST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
WOS IDWOS:000501246900005
Funding OrganizationNational Natural Science Foundation of China ; Beijing Natural Science Foundation
源URL[http://ir.ia.ac.cn/handle/173211/29429]  
Collection中国科学院自动化研究所
Corresponding AuthorLi, Dazi
Affiliation1.Beijing Univ Chem Technol, Inst Automat, Beijing, Peoples R China
2.Beijing Univ Chem Technol, Coll Informat Sci & Technol, Dept Automat, Beijing 100029, Peoples R China
3.Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Li, Dazi,Wei, Liming,Song, Tianheng,et al. Study on Asymptotic Stability of Fractional Singular Systems with Time Delay[J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS,2019:10.
APA Li, Dazi,Wei, Liming,Song, Tianheng,&Jin, Qibing.(2019).Study on Asymptotic Stability of Fractional Singular Systems with Time Delay.INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS,10.
MLA Li, Dazi,et al."Study on Asymptotic Stability of Fractional Singular Systems with Time Delay".INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS (2019):10.

入库方式: OAI收割

来源:自动化研究所

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