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A simple derivation of ARE solutions to the standard control problem based on LMI solution
Authors:Kang-Zhi Liu  Rong He
Affiliation:Department of Electrical and Mechanical Engineering, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8255, Japan
Abstract:In this note, a simple derivation of the Riccati equation based solutions to the standard View the MathML source control problem, namely the well-known Glover–Doyle solution and DGKF solution is given based on LMI solution. It is hoped that this will be helpful in deepening the understanding of Riccati equation solutions.
Keywords:Standard   mml3"  >  inlMMLBox"  >  /science?_ob=MathURL&_method=retrieve&_udi=B6V4X-4HTBKSJ-1&_mathId=mml3&_user=10&_cdi=5770&_rdoc=9&_acct=C000069468&_version=1&_userid=6189383&md5=51098a3962b1f9939f39b9fa3f20cc1d"  >  http://www.sciencedirect.com/cache/MiamiImageURL/B6V4X-4HTBKSJ-1-69/0?wchp=dGLbVzz-zSkWz"   alt="  View the MathML source"   title="  View the MathML source"   align="  absbottom"   border="  0"   height=14 width="  30"  /> control   Glover–  Doyle solution   DGKF solution   LMI solution
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