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A Stability Analysis Scheme for a Class of First-Order Nonlinear Time-Delay Systems

일종의 일차 비선형 시간 지연 시스템을 위한 안정성 분석 방법

  • 최준영 (부산대학교 전자전기통신공학부 컴퓨터 및 정보통신연구소)
  • Published : 2008.06.01

Abstract

We analyze the stability property of a class of nonlinear time-delay systems with time-varying delays. We present a time-delay independent sufficient condition for the global asymptotic stability. In order to prove the sufficient condition, we exploit the inherent property of the considered systems instead of applying the Krasovskii or Razumikhin stability theory that may cause the mathematical difficulty of analysis. We prove the sufficient condition by constructing two sequences that represent the lower and upper bound variations of system state in time, and showing the two sequences converge to an identical point, which is the equilibrium point of the system. The simulation results illustrate the validity of the sufficient condition for the global asymptotic stability.

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References

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