International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Necessary and Sufficient Stability Condition of Discrete State Delay Systems

  • Suh, Young-Soo (Department of Electrical Engineering, University of Ulsan) ;
  • Ro, Young-Shick (Department of Electrical Engineering, University of Ulsan) ;
  • Kang, Hee-Jun (Department of Electrical Engineering, University of Ulsan) ;
  • Lee, Hong-Hee (Department of Electrical Engineering, University of Ulsan)
  • Published : 2004.12.01
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Abstract

A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed for a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval.

Keywords

References

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