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Existence Condition on Solutions to the Algebraic Riccati Equation

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【Author】 NI Mao-Lin~1 1.National Laboratory of Space Intelligent Control,Beijing Institute of Control Engineering,China Academy of Space Technology,Beijing 100080,P.R.China

【摘要】 <正>First,the existence conditions on the solutions to the algebraic Riccati equation are reviewed.Then,a strict proof is presented for a necessary and sufficient condition on the exis- tence of a unique optimal positive definite solution to this equa- tion.By using this condition,some untrue results on the design of robust decentralized controllers are corrected.

【Abstract】 First,the existence conditions on the solutions to the algebraic Riccati equation are reviewed.Then,a strict proof is presented for a necessary and sufficient condition on the exis- tence of a unique optimal positive definite solution to this equa- tion.By using this condition,some untrue results on the design of robust decentralized controllers are corrected.

【基金】 Supported by National Natural Science Foundation of China(60774002,90405017);National Basic Research Program of China(973 Program)(2002CB312205)
  • 【文献出处】 自动化学报 ,Acta Automatica Sinica , 编辑部邮箱 ,2008年01期
  • 【分类号】O231
  • 【被引频次】6
  • 【下载频次】123
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