Journal
AUTOMATICA
Volume 82, Issue -, Pages 328-331Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2017.04.051
Keywords
Sampled-data systems; Stability; Lyapunov functional; Linear matrix inequality
Funding
- National Natural Science Foundation of China [61304064, 61273157, 61672225]
- National Science Fund of Hunan Province [2015JJ5021, 2015JJ3064]
- Scientific Research Fund of Hunan Provincial Education Department [15B067, 16C0475]
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In this paper, a new two-sided looped-functional is introduced for stability analysis of sampled-data systems. The functional fully utilizes the information on both the intervals x(t) to x(t(k)) and x(t) to x(t(k+1)). Based on the two-sided functional, an improved stability condition is derived in the form of linear matrix inequality (LMI). Numerical examples show that the result computed by the presented condition approximates nearly the theoretical bound (bound obtained by eigenvalue analysis) and outperforms substantially others in the existing literature. (C) 2017 Elsevier Ltd. All rights reserved.
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