Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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RICCATI EQUATION IN QUADRATIC OPTIMAL CONTROL PROBLEM OF DAMPED SECOND ORDER SYSTEM

  • Ha, Junhong (School of Liberal Arts Korea University of Technology and Education) ;
  • Nakagiri, Shin-Ichi (Department of Applied Mathematics Faculty of Engineering Kobe University)
  • Received : 2012.02.17
  • Published : 2013.01.01
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Abstract

This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.

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References

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