| Title:
|
A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications (English) |
| Author:
|
Datta, Biswa Nath |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
71-79 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A24 |
| MSC:
|
30C15 |
| MSC:
|
93D20 |
| idZBL:
|
Zbl 0435.15011 |
| idMR:
|
MR565909 |
| DOI:
|
10.21136/CMJ.1980.101656 |
| . |
| Date available:
|
2008-06-09T14:37:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101656 |
| . |
| Reference:
|
[1] S. Barnett: A new formulation of the Liénard-Chipart stability criterion.Proc. Camb. Phil. Soc. (1971), 269-274. Zbl 0224.15019, MR 0292548 |
| Reference:
|
[2] S. Barnett: Matrices, polynomials and linear time-invariant systems.IEEE Trans. Automat. Control, AC-18 (1973), 1-10. Zbl 0271.93012, MR 0452886, 10.1109/TAC.1973.1100216 |
| Reference:
|
[3] B. N. Datta: Quadratic forms, matrix equations and the matrix eigenvalue problem.Ph. D. Dissertation, University of Ottawa, March, 1972. |
| Reference:
|
[4] B. N. Datta: Application of Hankel matrix to the root location problem.IEEE Trans. Auto-Automat. Control, AC-21 (1976), 210-212. Zbl 0344.15012, MR 0414592 |
| Reference:
|
[5] B. N. Datta: An algorithm for evaluating a matrix polynomial and its applications.(in preparation). |
| Reference:
|
[6] B. N. Datta: Application of Hankel matrices of Markov parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn Problems.J. Math. Anal. Appl. 68 (1979), 276--290. Zbl 0421.65035, MR 0531438, 10.1016/0022-247X(79)90115-X |
| Reference:
|
[7] B. N. Datta: On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root separation problems, Linear Algebra and its Applications.22 (1978), 235-246. MR 0510812, 10.1016/0024-3795(78)90074-5 |
| Reference:
|
[8] F. R. Gantmacher: The Theory of Matrices.Vol. II, Chelsea, New York, 1959. Zbl 0085.01001 |
| . |
