제어로봇시스템학회:학술대회논문집

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Stability of discrete state delay systems

  • Suh, Young-Soo (School of Mechanical Engineering and RIMT, Pusan National University) ;
  • Lee, Won-Gu (School of Mechanical Engineering and RIMT, Pusan National University) ;
  • Lee, Man-Hyung (School of Mechanical Engineering and RIMT, Pusan National University)
  • Published : 1999.10.01
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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. The proposed stability condition ensures stability of a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval.

Keywords