Acta mathematica scientia,Series A ›› 2004, Vol. 4 ›› Issue (6): 786-795.

• Articles • Previous Articles    

Hamilton Matrix and the Stabilizing Solutions of〖STHZ〗 the H\-2 Algebraic

 YANG Dong-Mei, ZHANG Qiang-Ling, TAO Bei, JING Hai-Yang   

  • Online:2004-12-25 Published:2004-12-25
  • Supported by:

    国家自然科学基金(70271066)和辽宁省普通高校学科带头人基金(124210)资助

Abstract:

Hamilton matrix and \$H\-2\$ algebraic Riccati equations for linear continuoustime descriptor systems are studied. A standard singular \$H\-2\$ algebraic Riccati equation and its associated Hamilton matrix are presented. Some important properties of the Hamilton matrix are given. Furthermore, a sufficient condition such that the stabilizing solutions of the equations exist is obtained and the solutions algorithm is given. This condition is of generality. The main theorems are the extension of some results of normal systems.

CLC Number: 

  • 93C
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