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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Study for State Analysis of Linear Systems by using Hartley Functions

Harltley 함수를 이용한 선형시스템의 상태해석에 관한 연구

  • 김범수 (경상대학교 기계시스템공학과, 해양산업연구소) ;
  • 민치현 (경상대학교 기계시스템공학과)
  • Received : 2012.02.08
  • Accepted : 2012.08.09
  • Published : 2012.09.01
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Abstract

In this paper Hartley functions are used to approximate the solutions of continuous time linear dynamical system. The Hartley function and its integral operational matrix are first presented, an efficient algorithm to solve the Stein equation is proposed. The algorithm is based on the compound matrix and the inverse of sum of matrices. Using the structure of the Hartley's integral operational matrix, the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

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References

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