期刊
IET CONTROL THEORY AND APPLICATIONS
卷 13, 期 10, 页码 1514-1524出版社
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2018.5732
关键词
time-varying systems; delays; integral equations; stability; linear systems; linear matrix inequalities; new double integral inequality; stability analysis; linear retarded system; quadratic approximation; integral quadratic terms; recent IIs; double II; developed inequality; existing inequalities
资金
- National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning [NRF-2017R1A1A1A05001325]
This paper presents the development of a new double integral inequality (II) with the motivation of yielding quadratic approximation. It is well known that approximating integral quadratic terms with quadratic terms involves a certain degree of conservatism. In this paper, a sufficient gap has been identified in the approximation of two recent IIs reported in the literature, thereby leading to the new double II. The developed inequality has been applied to access the stability of a linear retarded system to estimate a maximum delay upper-bound. Furthermore, a mathematical relationship of the new double II with existing inequalities is discussed to show that the developed inequality is more general, effective and bears less computational burden. Four numerical examples are given to validate the authors' claim with regard to the effective estimate of delay bound results for a linear retarded system.
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