EXISTENCE OF POSITIVE-DEFINITE AND SEMIDEFINITE SOLUTIONS OF DISCRETE-TIME ALGEBRAIC RICCATI-EQUATIONS

被引:4
作者
WIMMER, HK
机构
[1] Mathematisches Institut, Universität Würzburg, Würzburg
关键词
D O I
10.1080/00207179408923086
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The discrete-time algebraic Riccati equation X - F*XF + F*XG(I + G*XG)-1G*XF - H*H = 0 is studied. Necessary and sufficient conditions for the existence of positive-definite and positive-semidefinite solutions are given.
引用
收藏
页码:463 / 471
页数:9
相关论文
共 7 条
[1]   RICCATI-EQUATIONS IN OPTIMAL FILTERING OF NONSTABILIZABLE SYSTEMS HAVING SINGULAR STATE TRANSITION MATRICES [J].
DESOUZA, CE ;
GEVERS, MR ;
GOODWIN, GC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (09) :831-838
[2]  
GEERTS AHW, 1990, 1989 P INT S MTNS, V2, P113
[3]   A NECESSARY AND SUFFICIENT CONDITION FOR SOLVABILITY OF THE LINEAR-QUADRATIC CONTROL PROBLEM WITHOUT STABILITY [J].
GEERTS, T .
SYSTEMS & CONTROL LETTERS, 1988, 11 (01) :47-51
[4]  
MARTENSSON K, 1971, INFORM SCIENCES, V3, P17, DOI 10.1016/S0020-0255(71)80020-8
[5]   ON POSITIVE DEFINITE SOLUTIONS TO THE ALGEBRAIC RICCATI EQUATION [J].
RICHARDSON, TJ ;
KWONG, RH .
SYSTEMS & CONTROL LETTERS, 1986, 7 (02) :99-104
[6]  
Wimmer H.K., 1992, J MATH SYSTEMS ESTIM, V2, P219
[7]   MATRICES WITH SEMIDEFINITE REAL PART [J].
WIMMER, HK .
MONATSHEFTE FUR MATHEMATIK, 1972, 76 (03) :276-&