期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 94, 期 12, 页码 2435-2457出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2017.1283412
关键词
Stability analysis; stabilization; linear systems; time-varying delays; Lyapunov method; 93C05
资金
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education, Science and Technology [2016R1D1A1A09917886]
- Human Resources Program in Energy Technology of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) from the Ministry of Trade, Industry & Energy, Republic of Korea [20164030201330]
- National Research Foundation of Korea [2016R1D1A1A09917886] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
In this paper, the problems of stability and stabilization for linear systems with time-varying delays and norm-bounded parameter uncertainties are considered. By constructing augmented Lyapunov functionals and utilizing auxiliary function-based integral inequalities, improved delay-dependent stability and stabilization criteria for guaranteeing the asymptotic stability of the system are proposed with the framework of linear matrix inequalities. Four numerical examples are included to show that the proposed results can reduce the conservatism of stability and stabilization criteria by comparing maximum delay bounds.
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