A note on eigenvalue bounds in algebraic Riccati equation
作者： V. Karanam
关键词: Discrete mathematics 、 Linear programming 、 Eigenvalues and eigenvectors 、 Mathematics 、 Maximum eigenvalue 、 Algebraic Riccati equation 、 Applied mathematics 、 Riccati equation 、 Algebraic solution 、 Upper and lower bounds 、 Matrix (mathematics)
摘要: In this note, an upper bound on the maximum eigenvalue of solution matrix K algebraic Riccati equation is established. The approach outlined also results in several lower bounds, which are more general than those derived [1], for some largest eigenvalues .
sci-hub.se 参考文章(4)
Ali R. Amir-Mo�z, linear transformations Duke Mathematical Journal. ,vol. 23, pp. 463- 476 ,(1956) , 10.1215/S0012-7094-56-02343-2
V. Karanam, Lower bounds on the solution of Lyapunov matrix and algebraic Riccati equations IEEE Transactions on Automatic Control. ,vol. 26, pp. 1288- 1290 ,(1981) , 10.1109/TAC.1981.1102803
Ky Fan, A. J. Hoffman, Some metric inequalities in the space of matrices Proceedings of the American Mathematical Society. ,vol. 6, pp. 111- 116 ,(1955) , 10.1090/S0002-9939-1955-0067841-7
K. Yasuda, K. Hirai, Upper and lower bounds on the solution of the algebraic Riccati equation IEEE Transactions on Automatic Control. ,vol. 24, pp. 483- 487 ,(1979) , 10.1109/TAC.1979.1102075