Less conservative stability criteria for linear systems with interval time‐varying delays |
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| Authors: | Jian Sun Qing‐Long Han Jie Chen Guo‐Ping Liu |
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| Affiliation: | 1. School of Automation, Beijing Institute of Technology, Beijing, China;2. Center for Intelligent and Networked Systems, Central Queensland University, Rockhampton, Australia;3. Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK |
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| Abstract: | The problem of the stability of a linear system with an interval time‐varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time‐varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on the proposed Lyapunov–Krasovskii functional, two stability conditions are developed using two different methods to estimate Lyapunov–Krasovskii functional's derivative. Two numerical examples are given to illustrate that the two stability conditions are complementary and yield a larger maximum upper bound of the time‐varying delay than some existing results. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | time‐varying delay Lyapunov– Krasovskii functional delay‐dependent stability linear matrix inequality (LMI) |
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