Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Stability on Time Delay Systems: A Survey

시간지연시스템의 안정성에 관한 연구동향

  • 박부견 (포항공대 전자전기공학과) ;
  • 이원일 (포항공대 전자전기공학과) ;
  • 이석영 (포항공대 정보전자융합공학부)
  • Received : 2014.01.24
  • Accepted : 2014.02.03
  • Published : 2014.03.01
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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.

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