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On the Solution of a Class of Algebraic Riccati Equations with Repeated Unstable Eigenvalues

被引：0
|
作者：
Rojas, A. J. [1 ]
机构：
[1] Univ Newcastle, ARC Ctr Excellence Complex Dynam Syst & Control, Callaghan, NSW 2308, Australia
来源：
2010 AMERICAN CONTROL CONFERENCE | 2010年
关键词：
D O I：
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the present paper we obtain a closed-form solution for the class of continuous-time algebraic Riccati equations (AREs) with vanishing state weight. The AREs in such a class solve a minimum energy control problem. The present work extends on previous preliminary results by considering the more challenging case of repeated unstable eigenvalues. The obtained closed-form solution gives insight on issues such as loss of controllability and it might also prove comparable in terms of numerical precision over current solving algorithms.
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页码：1111 / 1116
页数：6
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