| Title:
|
Evaluation of the impulsive solution space of linear multivariable homogeneous implicit systems (English) |
| Author:
|
Fragulis, George F. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
6 |
| Year:
|
1994 |
| Pages:
|
629-638 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B40 |
| MSC:
|
93B60 |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 0832.93031 |
| idMR:
|
MR1323665 |
| . |
| Date available:
|
2009-09-24T18:51:45Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125488 |
| . |
| Reference:
|
[1] F. M. Callier, C. A. Desoer: Multivariable Feedback Systems.Springer-Verlag, New York 1982. |
| Reference:
|
[2] S. L. Cambell: Singular Systems of Differential Equations.Pitman, London 1980. |
| Reference:
|
[3] S. L. Cambell C. D. Meyer, N. Rose: Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients.SIAM J. Appl. Math. 31 (1976), 3, 411-425. MR 0431636 |
| Reference:
|
[4] D. Cobb: Feedback and Pole placement in descriptor-variable systems.Internat. J. Control 33 (1981), 6, 1135-1146. Zbl 0464.93039, MR 0624176 |
| Reference:
|
[5] D. Cobb: A further interpretation of inconsistent initial conditions in descriptor variable systems.IEEE Trans. Automat. Control AC-28 (1983), 9. Zbl 0522.93037, MR 0712957 |
| Reference:
|
[6] D. Cobb: On the solution of linear differential equations with singular coefficients.J. Differential Equations 46 (1982), 310-323. MR 0681226 |
| Reference:
|
[7] N. Cohen: Spectral analysis of regular matrix polynomials.Integral Equations Operator Theory 6 (1983), 161-183. Zbl 0521.15015, MR 0720106 |
| Reference:
|
[8] F. Lewis: A survey of linear singular systems.Circuits Systems Signal Process. 5 (1986), 1. Zbl 0613.93029, MR 0893725 |
| Reference:
|
[9] D. G. Luenberger: Dynamic systems in descriptor form.IEEE Trans. Automat. Control AC-22 (1977), 312-321. MR 0479482 |
| Reference:
|
[10] H. H. Rosenbrock: State-Space and Multivariable Theory.Nelson, London 1970. Zbl 0246.93010, MR 0325201 |
| Reference:
|
[11] H. H. Rosenbrock: Structural Properties of Linear dynamical systems.Internat. J. Control 20 (1974), 2, 191-202. Zbl 0285.93019, MR 0424303 |
| Reference:
|
[12] A. I. G. Vardulakis: Linear Multivariable Control: Algebraic Analysis and Synthesis Methods.Wiley, New York 1991. Zbl 0751.93002, MR 1104222 |
| Reference:
|
[13] A. I. G. Vardulakis, G. F. Fragulis: Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations.Circuits Systems Signal Process. 8 (1989), 3, 357-373. Zbl 0678.34002, MR 1015177 |
| Reference:
|
[14] G. Verghese: Infinite-frequency Behaviour in Dynamical Systems.Ph.D. Dissertation, Dept. Electrical Engineering, Stanford Univ. 1978. |
| Reference:
|
[15] G. Verghese B. C. Levy, T. Kailath: A generalized state-space for singular systems.IEEE Trans. Automat. Control AC-26 (1981), 4, 811-830. MR 0635842 |
| Reference:
|
[16] G. Verghese, T. Kailath: Impulsive behaviour in dynamical systems: Structure and significance.In: Proc. 4th Internat. Symp. Mathematical Theory of Networks and Systems, Delft 1979, The Netherlands, pp. 162-168. |
| Reference:
|
[17] L. Gohberg P. Lancaster, L. Rodman: Matrix Polynomials.Academic Press, New York 1982. MR 0662418 |
| . |
