KIEE - The Transactions of the Korean Institute of Electrical Engineers

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The Transactions of the Korean Institute of Electrical Engineers

The Transactions of the Korean Institute of Electrical Engineers

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Title	A Multiple LKF Approach for Stability of Time Delayed Linear Systems
Authors	김진훈(Jin-Hoon Kim)
DOI	https://doi.org/10.5370/KIEE.2024.73.7.1213
Page	pp.1213-1219
ISSN	1975-8359
Keywords	Time-delayed system; Stability; Switched system approach; Multiple LKFs; Linear matrix inequality.
Abstract	Many results on the stability of time-delayed linear systems with time-varying time delays have been obtained using a single Lyapunov-Krasovskii functional(LKF). This paper presents a stability result using multiple LKFs dependent on the time delay interval. Multiple LKFs are different LKFs selected in each region partitioned by the size of the time delay. First, we present a result that guarantees stability in the case of a general -multiple LKFs. Next, based on this, we present a result in the form of linear matrix inequality(LMI) that guarantees stability in the case of   . Finally, the usefulness of the presented result is shown through two well-known benchmark examples.

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