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http://dx.doi.org/10.5302/J.ICROS.2014.14.9016

Stability on Time Delay Systems: A Survey  

Park, PooGyeon (Electrical Engineering, POSTECH)
Lee, Won Il (Electrical Engineering, POSTECH)
Lee, Seok Young (Division of IT Convergence Engineering, POSTECH)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.20, no.3, 2014 , pp. 289-297 More about this Journal
Abstract
This article surveys the control theoretic study on time delay systems. Since time delay systems are infinite dimensional, there are not analytic but numerical solutions on almost analysis and synthesis problems, which implies that there are a tremendous number of approximated solutions. To show how to find such solutions, several results are summarized in terms of two different axes: 1) theoretic tools like integral inequality associated with the derivative of delay terms, Jensen inequality, lower bound lemma for reciprocal convexity, and Wirtinger-based inequality and 2) various candidates for Laypunov-Krasovskii functionals.
Keywords
time delay; integral inequality; Jensen inequality; lower bound lemma for reciprocal convexity; Wirtinger-based inequality; Lyapunov-Krasovskii functionals;
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Times Cited By KSCI : 2  (Citation Analysis)
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