Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 354, Issue 13, Pages 5162-5175Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2017.05.006
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Funding
- National Natural Science Foundation of China [61603180]
- Natural Science Foundation of Jiangsu Province [BK20160810]
- Fundamental Research Funds for the Central Universities [HEUCFJ17040]
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This paper is devoted to the characterization of L-infinity-gain for positive singular systems with time-varying delays. First, we introduce an augmented system to replace the original system in order to analyze the positivity of singular systems with time-varying delays. By investigating the monotonicity of state trajectory, the L-infinity-gain for singular system with constant delays is characterized. Then, by comparing the trajectories of time-varying delay system and constant delay case, we finally propose the L-infinity-gain for singular system with time-varying delays. It is shown that the L-infinity-gain of positive singular systems is independent of the magnitude of delays. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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