| Title:
|
Differential geometric structures of stable state feedback systems with dual connections (English) |
| Author:
|
Ohara, Atsumi |
| Author:
|
Amari, Shun-ichi |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
369-386 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53B21 |
| MSC:
|
53C07 |
| MSC:
|
53C21 |
| MSC:
|
93B29 |
| MSC:
|
93B52 |
| MSC:
|
93C05 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 0821.93029 |
| idMR:
|
MR1303289 |
| . |
| Date available:
|
2009-09-24T18:48:36Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124159 |
| . |
| Reference:
|
[1] D. F. Delchamps: Global structure of families of multivariable linear systems with an application to identification.Math. Systems Theory 18 (1985), 329-380. MR 0818420 |
| Reference:
|
[2] S. Amari: Differential geometry of a parametric family of invertible linear systems -- Riemannian metric, dual affine connections, and divergence.Math. Systems Theory 20 (1987), 53-83. Zbl 0632.93017, MR 0901894 |
| Reference:
|
[3] P. S. Krishnaprasad: Symplectic mechanics and rational functions.Ricerche Automat. 10 (1979), 2, 107-135. MR 0614258 |
| Reference:
|
[4] A. D. C. Youla H. A. Jabr, J. J. Bongiorno: Modern Wiener-Hopf design of optimal controllers. Part II -- the multivariable case.IEEE Trans. Automat. Control 21 (1976), 319-338. MR 0446637 |
| Reference:
|
[5] V. Kučera: Discrete Linear Control: The Polynomial Equation Approach.Wiley, Chichester 1979. MR 0573447 |
| Reference:
|
[6] A. Ohara, T. Kitamori: Geometric structures of stable state feedback systems.In: Proc. of 29th IEEE C.D.C. 1990, pp. 2494-2490, and IEEE Trans. Automat. Control 38 (1993), 10, 1579-1583. MR 1242914 |
| Reference:
|
[7] A. Ohara, S. Amari: Differential geometric structures of stable state feedback systems with dual connections.In: Proc. 2nd IFAC Workshop on System Structure and Control 1992, pp. 176-179. |
| Reference:
|
[8] S. Amari: Differential-Geometrical Methods in Statistics.Springer-Verlag, Berlin 1985. Zbl 0559.62001, MR 0788689 |
| Reference:
|
[9] A. Ohara S. Nakazumi, N. Suda: Relations between a parametrization of stabilizing state feedback gains and eigenvalue locations.Systems Control Lett. 16 (1991), 261-266. MR 1102211 |
| Reference:
|
[10] S. Kobayashi, K. Nomizu: Foundations of Differential Geometry II.J. Wiley, New York 1969. |
| Reference:
|
[11] S. Helgason: Differential Geometry and Symmetric Spaces.Academic Press, New York 1962. Zbl 0111.18101, MR 0145455 |
| Reference:
|
[12] M. Takeuchi: Lie Groups II.Iwanami, Tokyo 1978 (in Japanese). MR 0839859 |
| . |
