CASIA OpenIR
Study on Asymptotic Stability of Fractional Singular Systems with Time Delay
Li, Dazi1; Wei, Liming; Song, Tianheng2; Jin, Qibing2,3
Source PublicationINTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
ISSN1598-6446
2019-11-28
Pages10
Corresponding AuthorLi, Dazi(lidz@mail.buct.edu.cn)
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.
KeywordFractional Laplacian inverse transform fractional Laplacian transform fractional singular systems nonlinear disturbance stability time delay
DOI10.1007/s12555-018-0688-3
WOS KeywordDESIGN
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[61873022] ; National Natural Science Foundation of China[61573052] ; Beijing Natural Science Foundation[4182045] ; National Natural Science Foundation of China[61873022] ; National Natural Science Foundation of China[61573052] ; Beijing Natural Science Foundation[4182045]
Funding OrganizationNational Natural Science Foundation of China ; Beijing Natural Science Foundation
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000501246900005
PublisherINST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/29430
Collection中国科学院自动化研究所
Corresponding AuthorLi, Dazi
Affiliation1.Beijing Univ Chem Technol, Coll Informat Sci & Technol, Dept Automat, Beijing 100029, Peoples R China
2.Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing, Peoples R China
3.Beijing Univ Chem Technol, Inst Automat, 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.
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